Main theorem of elimination theory
id:
main-theorem-of-elimination-theory-245-7946987
title:
Main theorem of elimination theory
text:
In algebraic geometry, the main theorem of elimination theory states that every projective scheme is proper. A version of this theorem predates the existence of scheme theory. It can be stated, proved, and applied in the following more classical setting. Let k be a field, denote by P k n the n-dimensional projective space over k. The main theorem of elimination theory is the statement that for any n and any algebraic variety V defined over k, the projection map V × P k n → V sends Zariski-closed
brand slug:
wiki
category slug:
encyclopedia
description:
The image of a projective variety by a projection is also a variety
original url:
https://en.wikipedia.org/wiki/Main_theorem_of_elimination_theory
date created:
date modified:
2020-08-17T14:28:17Z
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image:
fields total:
13
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14