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arXiv · 1203.5417

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

Giovanni Staglianò
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Abstract

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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Giovanni Staglianò. 2012-10-16. On special quadratic birational transformations of a projective space into a hypersurface. https://doi.org/10.1007/s12215-012-0099-x

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