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Variation of hyperplane sections

代数几何 2007-05-23 v1

摘要

A result of Beauville states that with a few positive characterstic exceptions, the smooth hyperplane sections of hypersurfaces of degree d>2d>2 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.

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引用

@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}
}

备注

4 pages