Base change theorems
id:
base-change-theorems-302-11343574
title:
Base change theorems
text:
In mathematics, the base change theorems relate the direct image and the inverse image of sheaves. More precisely, they are about the base change map, given by the following natural transformation of sheaves: where is a Cartesian square of topological spaces and F is a sheaf on X. Such theorems exist in different branches of geometry: for topological spaces and proper maps f, in algebraic geometry for (quasi-)coherent sheaves and f proper or g flat, similarly in analytic geometry, but also for é
brand slug:
wiki
category slug:
encyclopedia
description:
Relate the direct image and the pull-back of sheaves
original url:
https://en.wikipedia.org/wiki/Base_change_theorems
date created:
date modified:
2023-07-06T18:47:13Z
main entity:
{"identifier":"Q4866385","url":"https://www.wikidata.org/entity/Q4866385"}
image:
fields total:
13
integrity:
14