Vol. 13, No. 9, 2019

Download this article
For printing
Recent Issues

Volume 19, 1 issue

Volume 18, 12 issues

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN 1944-7833 (online)
ISSN 1937-0652 (print)
 
Author index
To appear
 
Other MSP journals
This article is available for purchase or by subscription. See below.
Positivity of anticanonical divisors and $F$-purity of fibers

Sho Ejiri

Vol. 13 (2019), No. 9, 2057–2080
Abstract

We prove that given a flat generically smooth morphism between smooth projective varieties with F- pure closed fibers, if the source space is Fano, weak Fano or a variety with nef anticanonical divisor, respectively, then so is the target space. We also show that, in arbitrary characteristic, a generically smooth surjective morphism between smooth projective varieties cannot have nef and big relative anticanonical divisor, if the target space has positive dimension.

PDF Access Denied

We have not been able to recognize your IP address 18.97.14.82 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
Fano variety, weak Fano variety, anticanonical divisor, restricted base locus, augmented base locus
Mathematical Subject Classification 2010
Primary: 14D06
Secondary: 14J45
Milestones
Received: 22 May 2018
Revised: 9 May 2019
Accepted: 13 June 2019
Published: 7 December 2019
Authors
Sho Ejiri
Department of Mathematics
Graduate School of Science
Osaka University
Japan