Projective variety
id:
projective-variety-315-14952070
title:
Projective variety
text:
In algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective n-space P n over k that is the zero-locus of some finite family of homogeneous polynomials of n + 1 variables with coefficients in k, that generate a prime ideal, the defining ideal of the variety. Equivalently, an algebraic variety is projective if it can be embedded as a Zariski closed subvariety of P n . A projective variety is a projective curve if its dimension is one; it is a pro
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Projective_variety
date created:
date modified:
2022-12-11T18:38:19Z
main entity:
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image:
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fields total:
13
integrity:
14