Jouanolou's trick
id:
jouanolou-s-trick-199-9314937
title:
Jouanolou's trick
text:
In algebraic geometry, Jouanolou's trick is a theorem that asserts, for an algebraic variety X, the existence of a surjection with affine fibers from an affine variety W to X. The variety W is therefore homotopy-equivalent to X, but it has the technically advantageous property of being affine. Jouanolou's original statement of the theorem required that X be quasi-projective over an affine scheme, but this has since been considerably weakened.
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in algebraic geometry that builds a homotopy equivalent affine variety
original url:
https://en.wikipedia.org/wiki/Jouanolou%27s_trick
date created:
date modified:
2023-02-21T07:45:15Z
main entity:
{"identifier":"Q55615352","url":"https://www.wikidata.org/entity/Q55615352"}
image:
fields total:
13
integrity:
14