Cotangent complex
id:
cotangent-complex-288-4668510
title:
Cotangent complex
text:
In mathematics, the cotangent complex is a common generalisation of the cotangent sheaf, normal bundle and virtual tangent bundle of a map of geometric spaces such as manifolds or schemes. If f : X → Y is a morphism of geometric or algebraic objects, the corresponding cotangent complex L X / Y ∙ can be thought of as a universal "linearization" of it, which serves to control the deformation theory of f . It is constructed as an object in a certain derived category of sheaves on X using the method
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Cotangent_complex
date created:
date modified:
2024-03-05T07:42:25Z
main entity:
{"identifier":"Q5175289","url":"https://www.wikidata.org/entity/Q5175289"}
image:
fields total:
13
integrity:
13