Variation of hyperplane sections

2006/02/07 by Michael A. van Opstall, van Opstall, Michael A., Razvan Veliche +1
Mathematics · #14M07 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14M07

paper · pdf · doi:10.48550/arxiv.math/0602137

4 pages

arxiv created 2006/02/07 · arxiv updated 2009/12/01

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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