Variation of hyperplane sections

Details Variation of hyperplane sections Variation of hyperplane sections

2006-02-07

arxiv.org/abs/math/0602137v1

Mathematics

Algebraic Geometry

4 pages

Scientific paper

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