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单词 NeronSeveriGroup
释义

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.

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更新时间:2025/5/4 14:03:18