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. © 2012 Springer-Verlag Italia.
On special quadratic birational transformations of a projective space into a hypersurface
Stagliano G.
2012-01-01
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. © 2012 Springer-Verlag Italia.File in questo prodotto:
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