Add Li-Tosatti

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Stefan Kebekus 2024-07-29 08:40:45 +02:00
parent 1534f2f6f5
commit 96ba156c81
3 changed files with 23 additions and 2 deletions

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@ -86,3 +86,4 @@ Mese
Nevanlinna
arithmetics
Grauert
Mok

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@ -312,8 +312,12 @@ If $M$ is compact, a well-known conjecture in the field predicts that $B$ is
projective space. In the case where $B$ is smooth, Hwang established the
conjecture more than 16 years ago in a celebrated paper. There is new insight
today, as Bakker--Schnell recently found a purely Hodge theoretic proof of
Hwang's result in \cite{arXiv:2311.08977}. Hopefully, these methods will give
insight into the singular setting, which remains open to date.
Hwang's result in \cite{arXiv:2311.08977}. On the other hand Li--Tosatti found
a more differential-geometric argument \cite{zbMATH07863260}, which relied
heavily on a singular version of Mok's uniformization theorem. Even if both
methods use results about rational curves, which confines them from the start to
the smooth case, there is hope that they will give insight into the singular
setting, which remains open to date.
\paragraph{Non-compact Setting}

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@ -1,3 +1,19 @@
@Article{zbMATH07863260,
Author = {Li, Yang and Tosatti, Valentino},
Title = {Special {K{\"a}hler} geometry and holomorphic {Lagrangian} fibrations},
FJournal = {Comptes Rendus. Math{\'e}matique. Acad{\'e}mie des Sciences, Paris},
Journal = {C. R., Math., Acad. Sci. Paris},
ISSN = {1631-073X},
Volume = {362},
Number = {S1},
Pages = {171--196},
Year = {2024},
Language = {English},
DOI = {10.5802/crmath.629},
Keywords = {14Jxx,53Cxx,32Qxx},
zbMATH = {7863260}
}
@misc{arXiv:2207.03283,
title={Hyperbolicity in presence of a large local system},
author={Yohan Brunebarbe},