Cartan's theorems A and B
id:
cartan-s-theorems-a-and-b-257-15204270
title:
Cartan's theorems A and B
text:
In mathematics, Cartan's theorems A and B are two results proved by Henri Cartan around 1951, concerning a coherent sheaf F on a Stein manifold X. They are significant both as applied to several complex variables, and in the general development of sheaf cohomology. Theorem B is stated in cohomological terms: Analogous properties were established by Serre (1957) for coherent sheaves in algebraic geometry, when X is an affine scheme. The analogue of Theorem B in this context is as follows: These t
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wiki
category slug:
encyclopedia
description:
Coherent sheaf on a Stein manifold is spanned by sections & lacks higher cohomology
original url:
https://en.wikipedia.org/wiki/Cartan%27s_theorems_A_and_B
date created:
date modified:
2024-03-07T20:41:46Z
main entity:
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13
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