Vol. 8, No. 3, 2014
Download this article
Download this article For screen
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
Lefschetz theorem for abelian fundamental group with modulus

Moritz Kerz and Shuji Saito
Vol. 8 (2014), No. 3, 689–701
DOI: 10.2140/ant.2014.8.689
Correction: 10.2140/ant.2022.16.2001
Abstract

We prove a Lefschetz hypersurface theorem for abelian fundamental groups allowing wild ramification along some divisor. In fact, we show that isomorphism holds if the degree of the hypersurface is large relative to the ramification along the divisor.

Keywords
fundamental group, ramification, Lefschetz theorem
Mathematical Subject Classification 2010
Primary: 14H30
Secondary: 14E22
Milestones
Received: 27 April 2013
Revised: 12 November 2013
Accepted: 10 December 2013
Published: 31 May 2014
Correction: 29 November 2022
Authors
Moritz Kerz
Naturwissenschaftliche Fakultät I – Mathematik
Universität Regensburg
93040 Regensburg
Germany
Shuji Saito
Interactive Research Center of Science
Graduate School of Science and Engineering
Tokyo Institute of Technology
Ookayama, Meguro
Tokyo 152-8551
Japan