Cremona linearizations of some classical varieties
Algebraic Geometry
2014-11-18 v2
Abstract
In this paper we present an effective method for linearizing rational varieties of codimension at least two under Cremona transformations, starting from a given parametrization. Using these linearizing Cremonas, we simplify the equations of secant and tangential varieties of some classical examples, including Veronese, Segre and Grassmann varieties. We end the paper by treating the special case of the Segre embedding of the n-fold product of projective spaces, where cumulant Cremonas, arising from algebraic statistics, appear as specific cases of our general construction.
Keywords
Cite
@article{arxiv.1403.1814,
title = {Cremona linearizations of some classical varieties},
author = {Ciro Ciliberto and Maria Angelica Cueto and Massimiliano Mella and Kristian Ranestad and Piotr Zwiernik},
journal= {arXiv preprint arXiv:1403.1814},
year = {2014}
}
Comments
19 pages, revised version incorporating referees' comments. To appear in the proceedings of the conference "Homage to Corrado Segre."