nLab
Néron-Severi group

Context

Complex geometry

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Contents

Definition

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

  • 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.