On special quadratic birational transformations of a projective space into a hypersurface

Details On special quadratic birational transformations of a projective space into a hypersurface On special quadratic birational transformations of a projective space into a hypersurface

2012-03-24

arxiv.org/abs/1203.5417v2

Mathematics

Algebraic Geometry

Minor changes, references updated

Scientific paper

We study transformations as in the title with emphasis on those having smooth
connected base locus, called "special". In particular, we classify all special
quadratic birational maps into a quadric hypersurface whose inverse is given by
quadratic forms by showing that there are only four examples having general
hyperplane sections of Severi varieties as base loci.

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