Néron-Severi group

Definition 1.

Let S be a surface (an algebraic variety of dimenion 2) defined over an algebraically closed field k. The Néron-Severi group of S, denoted by NS(S), is the group of Weil divisors on S modulo algebraic equivalence of divisors (see parent entry).

Theorem (Néron, Severi).

The Néron-Severi group of a surface is a finitely generatedMathworldPlanetmathPlanetmath abelian groupMathworldPlanetmath.

Title Néron-Severi group
Canonical name NeronSeveriGroup
Date of creation 2013-03-22 15:34:13
Last modified on 2013-03-22 15:34:13
Owner alozano (2414)
Last modified by alozano (2414)
Numerical id 4
Author alozano (2414)
Entry type Definition
Classification msc 14C20