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[parent] Néron-Severi group (Definition)
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 $\operatorname{NS}(S)$ , is the group of Weil divisors on $S$ modulo algebraic equivalence of divisors (see parent entry).
Theorem 1 (Néron, Severi)   The Néron-Severi group of a surface is a finitely generated abelian group.



"Néron-Severi group" is owned by alozano.
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Cross-references: abelian group, finitely generated, parent, algebraic equivalence of divisors, Weil divisors, group, field, algebraically closed, variety, algebraic, surface
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This is version 1 of Néron-Severi group, born on 2005-11-09.
Object id is 7475, canonical name is NeronSeveriGroup.
Accessed 1493 times total.

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AMS MSC: 14C20 (Algebraic geometry :: Cycles and subschemes :: Divisors, linear systems, invertible sheaves)
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