Vol. 9, No. 2, 2015

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

Volume 12, 1 issue

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
Editors' Addresses
Editors' Interests
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Author Index
To Appear
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
The Picard rank conjecture for the Hurwitz spaces of degree up to five

Anand Deopurkar and Anand Patel

Vol. 9 (2015), No. 2, 459–492

We prove that the rational Picard group of the simple Hurwitz space d,g is trivial for d up to five. We also relate the rational Picard groups of the Hurwitz spaces to the rational Picard groups of the Severi varieties of nodal curves on Hirzebruch surfaces.

Hurwitz space, Picard group
Mathematical Subject Classification 2010
Primary: 14H10
Secondary: 14C22
Received: 27 July 2014
Revised: 4 November 2014
Accepted: 11 December 2014
Published: 5 March 2015
Anand Deopurkar
Department of Mathematics
Columbia University
2990 Broadway
New York, NY 10027
United States
Anand Patel
Mathematics Department
Boston College
Carney Hall
Chestnut Hill, MA 02467
United States