Pathological behavior of arithmetic invariants of unipotent groups

Rosengarten, Zev

doi:10.2140/ant.2021.15.1593

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Form

Policies for Authors

Ethics Statement

ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

Pathological behavior of arithmetic invariants of unipotent groups

Zev Rosengarten

Vol. 15 (2021), No. 7, 1593–1626

DOI: 10.2140/ant.2021.15.1593

Abstract

We show that all of the nice behavior for Tamagawa numbers, Tate–Shafarevich sets, and other arithmetic invariants of pseudoreductive groups over global function fields, proved in another work, fails in general for noncommutative unipotent groups. We also give some positive results which show that Tamagawa numbers do exhibit some reasonable behavior for arbitrary connected linear algebraic groups over global function fields.

PDF Access Denied

We have not been able to recognize your IP address 3.140.185.170 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

unipotent groups, Tamagawa numbers, linear algebraic groups, Tate–Shafarevich sets

Mathematical Subject Classification 2010

Primary: 11R58

Secondary: 11R34, 11R56, 11E99

Milestones

Received: 8 January 2019

Revised: 24 January 2020

Accepted: 19 February 2021

Published: 1 November 2021

Authors

Zev Rosengarten
Einstein Institute of Mathematics Hebrew University of Jerusalem Edmond J. Safra Campu Givat Ram Jerusalem Israel

Vol. 15, No. 7, 2021