Ax–Grothendieck theorem
id:
ax-grothendieck-theorem-242-14237605
title:
Ax–Grothendieck theorem
text:
In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck. The theorem is often given as this special case: If P is an injective polynomial function from an n-dimensional complex vector space to itself then P is bijective. That is, if P always maps distinct arguments to distinct values, then the values of P cover all of Cn. The full theorem generalizes to any algebraic variety ove
brand slug:
wiki
category slug:
encyclopedia
description:
Injective polynomial functions are bijective
original url:
https://en.wikipedia.org/wiki/Ax%E2%80%93Grothendieck_theorem
date created:
date modified:
2021-12-26T02:55:16Z
main entity:
{"identifier":"Q4830725","url":"https://www.wikidata.org/entity/Q4830725"}
image:
fields total:
13
integrity:
14