Cotangent sheaf
id:
cotangent-sheaf-285-12242653
title:
Cotangent sheaf
text:
In algebraic geometry, given a morphism f: X → S of schemes, the cotangent sheaf on X is the sheaf of O X -modules Ω X / S that represents S-derivations in the sense: for any O X -modules F, there is an isomorphism that depends naturally on F. In other words, the cotangent sheaf is characterized by the universal property: there is the differential d : O X → Ω X / S such that any S-derivation D : O X → F factors as D = α ∘ d with some α : Ω X / S → F :\Omega _{X/S}\to F} . In the case X and S ar
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Cotangent_sheaf
date created:
date modified:
2022-12-11T18:03:30Z
main entity:
{"identifier":"Q19596510","url":"https://www.wikidata.org/entity/Q19596510"}
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fields total:
13
integrity:
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