Birational geometry of defective varieties
Algebraic Geometry
2007-05-23 v1
Abstract
Here we investigate the birational geometry of projective varieties of arbitrary dimension having defective higher secant varieties. We apply the classical tool of tangential projections and we determine natural conditions for uniruledness, rational connectivity, and rationality.
Cite
@article{arxiv.math/0406320,
title = {Birational geometry of defective varieties},
author = {Edoardo Ballico and Claudio Fontanari},
journal= {arXiv preprint arXiv:math/0406320},
year = {2007}
}