Cubic threefolds and abelian varieties of dimension five Journal Article uri icon

Overview

abstract

  • This paper proves the following converse to a theorem of Mumford: Let ; ; ; A; A; ; ; be a principally polarized abelian variety of dimension five, whose theta divisor has a unique singular point, and suppose that the multiplicity of the singular point is three. Then ; ; ; A; A; ; ; is isomorphic as a principally polarized abelian variety to the intermediate Jacobian of a smooth cubic threefold. The method of proof is to analyze the possible singularities of the theta divisor of ; ; ; A; A; ; ; , and ultimately to show that ; ; ; A; A; ; ; is the Prym variety of a possibly singular plane quintic.

publication date

  • January 1, 2005

has restriction

  • hybrid

Date in CU Experts

  • September 18, 2013 5:14 AM

Full Author List

  • Casalaina-Martin S; Friedman R

author count

  • 2

Other Profiles

International Standard Serial Number (ISSN)

  • 1056-3911

Electronic International Standard Serial Number (EISSN)

  • 1534-7486

Additional Document Info

start page

  • 295

end page

  • 326

volume

  • 14

issue

  • 2