Variation of hyperplane sections
Algebraic Geometry
2007-05-23 v1
Abstract
A result of Beauville states that with a few positive characterstic exceptions, the smooth hyperplane sections of hypersurfaces of degree in projective space are not all isomorphic. We address the question of whether these sections vary as much as possible. In arbitrary characteristic, we show that this is the case for a general hypersurface.
Cite
@article{arxiv.math/0602137,
title = {Variation of hyperplane sections},
author = {Michael A. van Opstall and Razvan Veliche},
journal= {arXiv preprint arXiv:math/0602137},
year = {2007}
}
Comments
4 pages