A new model for the theta divisor of the cubic threefold
Algebraic Geometry
2007-05-23 v1
Abstract
In this paper we give a birational model for the theta divisor of the intermediate Jacobian of a generic cubic threefold . We use the standard realization of as a conic bundle and a dimensional family of plane quartics which are totally tangent to the discriminant quintic curve of such a conic bundle structure. The additional data of an even theta characteristic on the curves in the family gives us a model for the theta divisor.
Cite
@article{arxiv.math/0403245,
title = {A new model for the theta divisor of the cubic threefold},
author = {Michela Artebani and Remke Kloosterman and Marco Pacini},
journal= {arXiv preprint arXiv:math/0403245},
year = {2007}
}