Manin’s b-constant in families

Sengupta, Akash Kumar

doi:10.2140/ant.2019.13.1893

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 $b$-constant in families

Akash Kumar Sengupta

Vol. 13 (2019), No. 8, 1893–1905

DOI: 10.2140/ant.2019.13.1893

Abstract

We show that the $b$ -constant (appearing in Manin’s conjecture) is constant on very general fibers of a family of algebraic varieties. If the fibers of the family are uniruled, then we show that the $b$ -constant is constant on general fibers.

PDF Access Denied

We have not been able to recognize your IP address 3.144.252.140 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, minimal model program, rational points, Néron–Severi group

Mathematical Subject Classification 2010

Primary: 14E30

Secondary: 14G05

Milestones

Received: 21 August 2018

Revised: 20 January 2019

Accepted: 10 March 2019

Published: 9 October 2019

Authors

Akash Kumar Sengupta
Princeton University Princeton, NJ United States

Vol. 13, No. 8, 2019