Vol. 10, No. 9, 2016

Download this article
Download this article For screen
For printing
Recent Issues

Volume 13
Issue 8, 1765–1981
Issue 7, 1509–1763
Issue 6, 1243–1507
Issue 5, 995–1242
Issue 4, 749–993
Issue 3, 531–747
Issue 2, 251–530
Issue 1, 1–249

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
Editorial Board
Subscriptions
Editors' Interests
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
Extremality of loci of hyperelliptic curves with marked Weierstrass points

Dawei Chen and Nicola Tarasca

Vol. 10 (2016), No. 9, 1935–1948
DOI: 10.2140/ant.2016.10.1935
Abstract

The locus of genus-two curves with n marked Weierstrass points has codimension n inside the moduli space of genus-two curves with n marked points, for n 6. It is well known that the class of the closure of the divisor obtained for n = 1 spans an extremal ray of the cone of effective divisor classes. We generalize this result for all n: we show that the class of the closure of the locus of genus-two curves with n marked Weierstrass points spans an extremal ray of the cone of effective classes of codimension n, for n 6. A related construction produces extremal nef curve classes in moduli spaces of pointed elliptic curves.

Keywords
subvarieties of moduli spaces of curves, effective cones, higher codimensional cycles
Mathematical Subject Classification 2010
Primary: 14H99
Secondary: 14C99
Milestones
Received: 9 November 2015
Revised: 17 June 2016
Accepted: 10 September 2016
Published: 22 November 2016
Authors
Dawei Chen
Department of Mathematics
Boston College
Maloney Hall
140 Commonwealth Ave
Chestnut Hill, MA 02467-3806
United States
Nicola Tarasca
Department of Mathematics
University of Utah
155 S 1400 E
Salt Lake City, UT 84112
United States