2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/108881A 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 pagesAlgebraic Geometry14M07Variation of hyperplane sectionstext