A fibered power theorem for pairs of log general type

Ascher, Kenneth; Turchet, Amos

doi:10.2140/ant.2016.10.1581

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

ISSN 1944-7833 (online)

ISSN 1937-0652 (print)

Author index

To appear

Other MSP journals

A fibered power theorem for pairs of log general type

Kenneth Ascher and Amos Turchet

Vol. 10 (2016), No. 7, 1581–1600

DOI: 10.2140/ant.2016.10.1581

Abstract

Let $f : (X, D) \to B$ be a stable family with log canonical general fiber. We prove that, after a birational modification of the base $\tilde{B} \to B$ , there is a morphism from a high fibered power of the family to a pair of log general type. If in addition the general fiber is openly canonical, then there is a morphism from a high fibered power of the original family to a pair openly of log general type.

Keywords

log general type, moduli of stable pairs, Lang–Vojta

Mathematical Subject Classification 2010

Primary: 14J10

Secondary: 14J29, 14E99, 14G05

Milestones

Received: 1 March 2016

Revised: 30 June 2016

Accepted: 31 July 2016

Published: 27 September 2016

Authors

Kenneth Ascher
Mathematics Department Brown University 151 Thayer Street Providence, RI 02912 United States

Amos Turchet
Mathematical Sciences Chalmers University of Technology Chalmers Tvärgata 3 SE-412 96 Gothenburg Sweden

Vol. 10, No. 7, 2016