Equivariant Picard groups and Laurent polynomials

Let $G$ be a finite group. For a $G$ -ring $A$ , let ${Pic}^{G} (A)$ denote the equivariant Picard group of $A$ . We show that if $A$ is a finite type algebra over a field $k$ then ${Pic}^{G} (A)$ is contracted in the sense of Bass with contraction $H_{et}^{1} (G; Spec (A), ℤ)$ . This gives a natural decomposition of the group ${Pic}^{G} (A [t, t^{- 1}])$ .

PDF Access Denied

We have not been able to recognize your IP address 18.117.182.179 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

equivariant Picard groups, contracted functor, G-sheaves

Mathematical Subject Classification

Primary: 14C35

Secondary: 19E08, 18E10

Milestones

Received: 6 October 2020

Revised: 4 February 2021

Accepted: 22 March 2021

Published: 4 August 2021

Authors

Vivek Sadhu
Indian Institute of Science Education and Research Bhopal Bhopal India

Vol. 312, No. 1, 2021

Vivek Sadhu

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors