Le Potier's vanishing theorem
id:
le-potier-s-vanishing-theorem-242-12749982
title:
Le Potier's vanishing theorem
text:
In algebraic geometry, Le Potier's vanishing theorem is an extension of the Kodaira vanishing theorem, on vector bundles. The theorem states the following In case of r = 1, and let E is an ample line bundle on X, this theorem is equivalent to the Nakano vanishing theorem. Also, Schneider (1974) found another proof. Sommese (1978) generalizes Le Potier's vanishing theorem to k-ample and the statement as follows: Demailly (1988) gave a counterexample, which is as follows:
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wiki
category slug:
encyclopedia
description:
Generalizes the Kodaira vanishing theorem for ample vector bundle
original url:
https://en.wikipedia.org/wiki/Le_Potier%27s_vanishing_theorem
date created:
date modified:
2023-12-18T16:33:12Z
main entity:
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13
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