nLab
Néron-Severi group

Contents

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.