Minimal classes on the intermediate Jacobian of a generic cubic threefold
Algebraic Geometry
2018-01-09 v2
Abstract
Let X be a smooth cubic threefold. We can associate two objects to X: the intermediate Jacobian J and the Fano surface F parametrising lines on X. By a theorem of Clemens and Griffiths, the Fano surface can be embedded in the intermediate Jacobian and the cohomology class of its image is minimal. In this paper we show that if X is generic, the Fano surface is the only surface of minimal class in J.
Keywords
Cite
@article{arxiv.0802.0978,
title = {Minimal classes on the intermediate Jacobian of a generic cubic threefold},
author = {Andreas Höring},
journal= {arXiv preprint arXiv:0802.0978},
year = {2018}
}
Comments
14 pages, changed metadata