Affine variety
id:
affine-variety-248-628143
title:
Affine variety
text:
In algebraic geometry, an affine algebraic set is the set of the common zeros over an algebraically closed field k of some family of polynomials in the polynomial ring k [ X 1 , … , X n ] . An affine variety or affine algebraic variety, is an affine algebraic set such that the ideal generated by the defining polynomials is prime. Some texts use the term variety for any algebraic set, and irreducible variety an algebraic set whose defining ideal is prime. In some contexts, it is useful to disting
brand slug:
wiki
category slug:
encyclopedia
description:
Algebraic variety defined within an affine space
original url:
https://en.wikipedia.org/wiki/Affine_variety
date created:
date modified:
2024-02-07T14:28:03Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/a/a6/Cubic_with_double_point.svg","width":425,"height":425}
fields total:
13
integrity:
15