Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians
Algebraic Geometry
2007-05-23 v3 Complex Variables
Abstract
In this paper we study principally polarized complex abelian varieties that admit an automorphism of order 3. It turns out that certain natural conditions on the multiplicities of its action on the differentials of the first kind do guarantee that those polarized varieties are not jacobians of curves. As an application, we get another proof of the already known (thanks to Clemens and Griffiths) fact that intermediate jacobians of certain cubic threefolds are not jacobians of curves.
Cite
@article{arxiv.math/0610138,
title = {Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:math/0610138},
year = {2007}
}
Comments
LaTeX, 4 pages