Add Li-Tosatti
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@ -86,3 +86,4 @@ Mese
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Nevanlinna
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arithmetics
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Grauert
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Mok
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@ -312,8 +312,12 @@ If $M$ is compact, a well-known conjecture in the field predicts that $B$ is
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projective space. In the case where $B$ is smooth, Hwang established the
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conjecture more than 16 years ago in a celebrated paper. There is new insight
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today, as Bakker--Schnell recently found a purely Hodge theoretic proof of
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Hwang's result in \cite{arXiv:2311.08977}. Hopefully, these methods will give
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insight into the singular setting, which remains open to date.
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Hwang's result in \cite{arXiv:2311.08977}. On the other hand Li--Tosatti found
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a more differential-geometric argument \cite{zbMATH07863260}, which relied
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heavily on a singular version of Mok's uniformization theorem. Even if both
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methods use results about rational curves, which confines them from the start to
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the smooth case, there is hope that they will give insight into the singular
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setting, which remains open to date.
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\paragraph{Non-compact Setting}
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16
general.bib
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general.bib
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@ -1,3 +1,19 @@
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@Article{zbMATH07863260,
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Author = {Li, Yang and Tosatti, Valentino},
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Title = {Special {K{\"a}hler} geometry and holomorphic {Lagrangian} fibrations},
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FJournal = {Comptes Rendus. Math{\'e}matique. Acad{\'e}mie des Sciences, Paris},
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Journal = {C. R., Math., Acad. Sci. Paris},
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ISSN = {1631-073X},
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Volume = {362},
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Number = {S1},
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Pages = {171--196},
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Year = {2024},
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Language = {English},
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DOI = {10.5802/crmath.629},
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Keywords = {14Jxx,53Cxx,32Qxx},
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zbMATH = {7863260}
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}
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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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author={Yohan Brunebarbe},
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