Serre duality
id:
serre-duality-296-11341479
title:
Serre duality
text:
In algebraic geometry, a branch of mathematics, Serre duality is a duality for the coherent sheaf cohomology of algebraic varieties, proved by Jean-Pierre Serre. The basic version applies to vector bundles on a smooth projective variety, but Alexander Grothendieck found wide generalizations, for example to singular varieties. On an n-dimensional variety, the theorem says that a cohomology group H i is the dual space of another one, H n − i . Serre duality is the analog for coherent sheaf cohomol
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original url:
https://en.wikipedia.org/wiki/Serre_duality
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date modified:
2024-02-11T07:35:44Z
main entity:
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