Exponential sheaf sequence
id:
exponential-sheaf-sequence-285-14868479
title:
Exponential sheaf sequence
text:
In mathematics, the exponential sheaf sequence is a fundamental short exact sequence of sheaves used in complex geometry. Let M be a complex manifold, and write OM for the sheaf of holomorphic functions on M. Let OM* be the subsheaf consisting of the non-vanishing holomorphic functions. These are both sheaves of abelian groups. The exponential function gives a sheaf homomorphism because for a holomorphic function f, exp(f) is a non-vanishing holomorphic function, and exp(f + g) = exp(f)exp(g). I
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Exponential_sheaf_sequence
date created:
date modified:
2020-06-22T15:07:18Z
main entity:
{"identifier":"Q5421530","url":"https://www.wikidata.org/entity/Q5421530"}
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fields total:
13
integrity:
13