Vol. 11, No. 7, 2017

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

Volume 11
Issue 10, 2213–2445
Issue 9, 1967–2212
Issue 8, 1739–1965
Issue 7, 1489–1738
Issue 6, 1243–1488
Issue 5, 1009–1241
Issue 4, 767–1007
Issue 3, 505–765
Issue 2, 253–503
Issue 1, 1–252

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
Subscriptions
Editorial Board
Editors' Addresses
Editors' Interests
Scientific Advantages
Submission Guidelines
Submission Form
Editorial Login
Contacts
Author Index
To Appear
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
New cubic fourfolds with odd-degree unirational parametrizations

Kuan-Wen Lai

Vol. 11 (2017), No. 7, 1597–1626
Abstract

We prove that the moduli space of cubic fourfolds C contains a divisor C42 whose general member has a unirational parametrization of degree 13. This result follows from a thorough study of the Hilbert scheme of rational scrolls and an explicit construction of examples. We also show that C42 is uniruled.

Keywords
cubic fourfold, K3 surface, rational surface, unirational parametrization
Mathematical Subject Classification 2010
Primary: 14E08
Secondary: 14J26, 14J35, 14J70, 14M20
Milestones
Received: 27 September 2016
Revised: 28 April 2017
Accepted: 5 June 2017
Published: 7 September 2017
Authors
Kuan-Wen Lai
Department of Mathematics
Brown University
Providence, RI
United States