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\section{Workshop Title}
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\section{Workshop Title}
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Komplexe Analysis --- Differential and Algebraic methods in Kähler spaces
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Komplexe Analysis --- Differential and Metric Methods in the Theory of Kähler Spaces
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\section{Proposed Organisers}
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\section{Proposed Organisers}
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@ -321,6 +321,10 @@ group theory with experts on Hodge theory and to explore further potential
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applications of the methods from one field to problems in the other.
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applications of the methods from one field to problems in the other.
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\section{Suggested and Excluded Dates}
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We would prefer if our workshop took place in mid of September or early to mid
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of April.
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60
general.bib
60
general.bib
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@ -1,28 +1,31 @@
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@misc{arXiv:2207.03283,
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@misc{arXiv:2207.03283,
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title={Hyperbolicity in presence of a large local system},
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title={Hyperbolicity in presence of a large local system},
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author={Yohan Brunebarbe},
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author={Yohan Brunebarbe},
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month={July},
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year={2022},
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year={2022},
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eprint={2207.03283},
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note={Preprint \href{https://arxiv.org/abs/2207.03283}{arXiv:2207.03283}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2207.03283},
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url={https://arxiv.org/abs/2207.03283},
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}
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}
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@misc{arXiv:2305.09613,
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@misc{arXiv:2305.09613,
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title={The relative Green-Griffiths-Lang conjecture for families of varieties of maximal Albanese dimension},
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title={The relative {G}reen-{G}riffiths-{L}ang conjecture for families of varieties of maximal {A}lbanese dimension},
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author={Yohan Brunebarbe},
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author={Yohan Brunebarbe},
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month={May},
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year={2023},
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year={2023},
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eprint={2305.09613},
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note={Preprint \href{https://arxiv.org/abs/2305.09613}{arXiv:2305.09613}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2305.09613},
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url={https://arxiv.org/abs/2305.09613},
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}
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}
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@misc{arXiv:2007.12957,
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@misc{arXiv:2007.12957,
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title={Arakelov-Nevanlinna inequalities for variations of Hodge structures and applications},
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title={Arakelov-{N}evanlinna inequalities for variations of {H}odge structures and applications},
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author={Damian Brotbek and Yohan Brunebarbe},
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author={Damian Brotbek and Yohan Brunebarbe},
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month={July},
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year={2020},
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year={2020},
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eprint={2007.12957},
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note={Preprint \href{https://arxiv.org/abs/2007.12957}{arXiv:2007.12957}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2007.12957},
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url={https://arxiv.org/abs/2007.12957},
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@ -31,8 +34,9 @@
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@misc{arXiv:2112.13961,
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@misc{arXiv:2112.13961,
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title={Infinite energy maps and rigidity},
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title={Infinite energy maps and rigidity},
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author={Daskalopoulos, Georgios and Mese, Chikako},
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author={Daskalopoulos, Georgios and Mese, Chikako},
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year={2021},
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month={December},
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month={December},
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year={2021},
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note={Preprint \href{https://arxiv.org/abs/2112.13961}{arXiv:2112.13961}},
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url={https://arxiv.org/abs/2112.13961}
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url={https://arxiv.org/abs/2112.13961}
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}
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}
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@ -70,8 +74,9 @@
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}
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}
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@misc{arXiv:2407.01150,
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@misc{arXiv:2407.01150,
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title={Degenerating conic Kähler-Einstein metrics to the normal cone},
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title={Degenerating conic {K}ähler-{E}instein metrics to the normal cone},
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author={Biquard, Olivier and Guenancia, Henri},
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author={Biquard, Olivier and Guenancia, Henri},
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note={Preprint \href{https://arxiv.org/abs/2407.01150}{arXiv:2407.01150}},
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year={2024},
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year={2024},
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month={July},
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month={July},
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url={https://arxiv.org/abs/2407.01150},
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url={https://arxiv.org/abs/2407.01150},
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@ -129,10 +134,11 @@
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}
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}
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@misc{arXiv:2401.03935,
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@misc{arXiv:2401.03935,
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title={Continuity of solutions to complex Monge-Amp\`{e}re equations on compact K\"{a}hler spaces},
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title={Continuity of solutions to complex {M}onge-{A}mpère equations on compact {K}ähler spaces},
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author={Ye-Won Luke Cho and Young-Jun Choi},
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author={Ye-Won Luke Cho and Young-Jun Choi},
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month={January},
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year={2024},
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year={2024},
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eprint={2401.03935},
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note={Preprint \href{https://arxiv.org/abs/2401.03935}{arXiv:2401.03935}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.DG},
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primaryClass={math.DG},
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url={https://arxiv.org/abs/2401.03935},
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url={https://arxiv.org/abs/2401.03935},
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@ -225,9 +231,11 @@
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@misc{arXiv:2310.14131,
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@misc{arXiv:2310.14131,
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title={Hodge-theoretic variants of the Hopf and Singer Conjectures},
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title={Hodge-theoretic variants of the {H}opf and {S}inger {C}onjectures},
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author={Donu Arapura and Laurentiu Maxim and Botong Wang},
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author={Donu Arapura and Laurentiu Maxim and Botong Wang},
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year={2024},
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note={Preprint \href{https://arxiv.org/abs/2310.14131}{arXiv:2310.14131}},
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month={October},
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year={2023},
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eprint={2310.14131},
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eprint={2310.14131},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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@ -235,40 +243,44 @@
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}
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}
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@misc{arXiv:2303.05364,
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@misc{arXiv:2303.05364,
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title={Hodge theory and Lagrangian fibrations on holomorphic symplectic manifolds},
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title={Hodge theory and {L}agrangian fibrations on holomorphic symplectic manifolds},
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author={Christian Schnell},
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author={Christian Schnell},
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month={March},
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year={2023},
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year={2023},
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eprint={2303.05364},
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note={Preprint \href{https://arxiv.org/abs/2303.05364}{arXiv:2303.05364}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2303.05364},
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url={https://arxiv.org/abs/2303.05364},
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}
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}
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@misc{arXiv:2209.05429,
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@misc{arXiv:2209.05429,
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title={$P=W$ via $H_2$},
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title={{$P=W$} via {$H_2$}},
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author={Tamas Hausel and Anton Mellit and Alexandre Minets and Olivier Schiffmann},
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author={Tamas Hausel and Anton Mellit and Alexandre Minets and Olivier Schiffmann},
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month={September},
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year={2022},
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year={2022},
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eprint={2209.05429},
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note={Preprint \href{https://arxiv.org/abs/2209.05429}{arXiv:2209.05429}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2209.05429},
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url={https://arxiv.org/abs/2209.05429},
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}
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}
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@misc{arXiv:2209.02568,
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@misc{arXiv:2209.02568,
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title={The $P=W$ conjecture for $\mathrm{GL}_n$},
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title={The {$P=W$} conjecture for {$\mathrm{GL}_n$}},
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author={Davesh Maulik and Junliang Shen},
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author={Davesh Maulik and Junliang Shen},
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year={2024},
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month={September},
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eprint={2209.02568},
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year={2022},
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note={Preprint \href{https://arxiv.org/abs/2209.02568}{arXiv:2209.02568}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2209.02568},
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url={https://arxiv.org/abs/2209.02568},
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}
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}
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@misc{arXiv:2311.08977,
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@misc{arXiv:2311.08977,
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title={A Hodge-theoretic proof of Hwang's theorem on base manifolds of Lagrangian fibrations},
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title={A {H}odge-theoretic proof of {H}wang's theorem on base manifolds of {L}agrangian fibrations},
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author={Benjamin Bakker and Christian Schnell},
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author={Benjamin Bakker and Christian Schnell},
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month={November},
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year={2023},
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year={2023},
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eprint={2311.08977},
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note={Preprint \href{https://arxiv.org/abs/2311.08977}{arXiv:2311.08977}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2311.08977},
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url={https://arxiv.org/abs/2311.08977},
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author={Christian Schnell and Ruijie Yang},
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author={Christian Schnell and Ruijie Yang},
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month={September},
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month={September},
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year={2023},
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year={2023},
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eprint={2309.16763},
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note={Preprint \href{https://arxiv.org/abs/2309.16763}{arXiv:2309.16763}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2309.16763},
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url={https://arxiv.org/abs/2309.16763},
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@ -321,11 +333,11 @@ MRREVIEWER = {Zhi\ Jiang},
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}
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}
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@misc{arXiv:2406.19003,
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@misc{arXiv:2406.19003,
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title={Hyperbolicity of generic hypersurfaces of polynomial degree via Green-Griffiths jet differentials},
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title={Hyperbolicity of generic hypersurfaces of polynomial degree via {G}reen-{G}riffiths jet differentials},
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author={Benoit Cadorel},
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author={Benoit Cadorel},
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year={2024},
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month={June},
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month={June},
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eprint={2406.19003},
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year={2024},
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note={Preprint \href{https://arxiv.org/abs/2406.19003}{arXiv:2406.19003}},
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archivePrefix={arXiv},
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archivePrefix={arXiv},
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primaryClass={math.AG},
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primaryClass={math.AG},
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url={https://arxiv.org/abs/2406.19003},
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url={https://arxiv.org/abs/2406.19003},
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