Degree of an algebraic variety
id:
degree-of-an-algebraic-variety-206-4333174
title:
Degree of an algebraic variety
text:
In mathematics, the degree of an affine or projective variety of dimension n is the number of intersection points of the variety
with n hyperplanes in general position. For an algebraic set, the intersection points must be counted with their intersection multiplicity, because of the possibility of multiple components. For (irreducible) varieties, if one takes into account the multiplicities and, in the affine case, the points at infinity, the hypothesis of general position may be replaced by the
brand slug:
wiki
category slug:
encyclopedia
description:
Number used in algebraic geometry
original url:
https://en.wikipedia.org/wiki/Degree_of_an_algebraic_variety
date created:
2005-09-27T16:03:45Z
date modified:
2024-09-10T21:54:29Z
main entity:
{"identifier":"Q5251838","url":"https://www.wikidata.org/entity/Q5251838"}
image:
fields total:
13
integrity:
15