Variation of hyperplane sections

Michael A. van Opstall; Razvan Veliche

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Variation of hyperplane sections

Michael A. van Opstall·Razvan Veliche

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Abstract

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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Michael A. van Opstall, Razvan Veliche. 2006-02-07. Variation of hyperplane sections. https://arxiv.org/abs/math/0602137

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