diff --git a/.vscode/ltex.dictionary.en-US.txt b/.vscode/ltex.dictionary.en-US.txt index 03dae99..59714f9 100644 --- a/.vscode/ltex.dictionary.en-US.txt +++ b/.vscode/ltex.dictionary.en-US.txt @@ -86,3 +86,4 @@ Mese Nevanlinna arithmetics Grauert +Mok diff --git a/MFO26.tex b/MFO26.tex index d09d17c..4d42946 100644 --- a/MFO26.tex +++ b/MFO26.tex @@ -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} diff --git a/general.bib b/general.bib index d5ab446..331c381 100644 --- a/general.bib +++ b/general.bib @@ -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},