Manin’s conjecture and the Fujita invariant of finite covers

Sengupta, Akash Kumar

doi:10.2140/ant.2021.15.2071

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.

Manin's conjecture and the Fujita invariant of finite covers

Akash Kumar Sengupta

Vol. 15 (2021), No. 8, 2071–2087

DOI: 10.2140/ant.2021.15.2071

Abstract

We prove a conjecture of Lehmann and Tanimoto about the behaviour of the Fujita invariant (or $a$ -constant appearing in Manin’s conjecture) under pull-back to generically finite covers. As a consequence we obtain results about geometric consistency of Manin’s conjecture.

PDF Access Denied

We have not been able to recognize your IP address 13.58.82.79 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

Manin's conjecture, Fujita invariant

Mathematical Subject Classification

Primary: 14E30, 14G05

Milestones

Received: 19 October 2020

Revised: 12 January 2021

Accepted: 17 February 2021

Published: 10 November 2021

Authors

Akash Kumar Sengupta
Department of Mathematics Columbia University New York, NY United States

Vol. 15, No. 8, 2021