Variation of hyperplane sections

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.

4 pages

Cited by in corpus (1)

• Counting the hyperplane sections with fixed invariants of a plane quintic