On special quadratic birational transformations of a projective space into a hypersurface
Algebraic Geometry
2013-04-09 v4
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.
Keywords
Cite
@article{arxiv.1203.5417,
title = {On special quadratic birational transformations of a projective space into a hypersurface},
author = {Giovanni Staglianò},
journal= {arXiv preprint arXiv:1203.5417},
year = {2013}
}
Comments
Accepted for publication in Rendiconti del Circolo Matematico di Palermo