nLab Néron-Severi group

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Note: monoid in a monoidal (infinity,1)-category, monoid in a monoidal (infinity,1)-category, monoid in a monoidal (infinity,1)-category, and monoid in a monoidal (infinity,1)-category all redirect for "algebra in an (infinity,1)-category".

Contents

Context

Complex geometry

Definition

Given an algebraic variety or scheme $X$ , then its Néron-Severi group is the quotient of its Picard scheme $Pic_X$ by the connected component $Pic_X^0$ of the neutral element.

Related concepts

A choice of an ample element in the Néron-Severi group is called a choice of polarization.

Last revised on May 30, 2014 at 09:12:07. See the history of this page for a list of all contributions to it.