A Grothendieck-Lefschetz theorem for equivariant Picard groups

TL;DR

This paper establishes a Grothendieck-Lefschetz theorem for equivariant Picard groups, extending classical results to varieties with finite group actions, providing new insights into their geometric and algebraic structure.

Contribution

It introduces a Grothendieck-Lefschetz theorem specifically for equivariant Picard groups of smooth varieties with finite group actions, a novel extension of existing theorems.

Findings

Proves a Grothendieck-Lefschetz theorem for equivariant Picard groups.

Extends classical Picard group results to equivariant settings.

Provides tools for studying line bundles under group actions.

Abstract

We prove a Grothendieck-Lefschetz theorem for equivariant Picard groups of non-singular varieties with finite group actions.