Manin’s conjecture and the Fujita invariant of finite covers

Sengupta, Akash Kumar

doi:10.2140/ant.2021.15.2071

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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.

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