ガロア第一論文と乗数イデアル他関連資料スレ3

[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ3 (1002ﾚｽ)
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731: １３２人目の素数さん [] 2023/05/04(木) 14:55:40.04 ID:RJvsqXE+

>>730
>>頭悪そう
うまい答えが思いつかないときの
常套句
>>ド田舎の中卒か
田舎の中卒にでも数学に限ればこの程度なら書ける↓

As is well known, Riemann's idea was realized,
or rather justified, by Hilbert and Weyl, and then
further extended by Hodge and Kodaira.
In particular, Kodaira characterized projective algebraic varieties
as compact complex manifolds which admit positive line bundles,
by establishing a cohomology vanishing theorem.

Demailly's thesis is one of the generalizations of
Kodaira's vanishing theorem.  Demailly proved a
vanishing theorem with L^2 estimates on complete K\"ahler
manifolds under the semipositivity conditions on the curvature of
the bundles. It was first observed by Grauert that complete
K\"ahler metrics live naturally on Stein manifolds as well as on
quasi-projective manifolds. The reason why Demailly's L^2
vanishing theorem is effective in algebraic geometry is that L^2
holomorphic functions extend analytically across proper analytic
subsets of the domains in C^n as in the case of Riemann's
removable singularity theorem in one variable.

http://rio2016.5ch.net/test/read.cgi/math/1680684665/731

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