New examples of defective secant varieties of Segre-Veronese varieties
Algebraic Geometry
2012-11-01 v1
Abstract
We prove the existence of defective secant varieties of three-factor and four-factor Segre-Veronese varieties embedded in certain multi-degree. These defective secant varieties were previously unknown and are of importance in the classification of defective secant varieties of Segre-Veronese varieties with three or more factors.
Keywords
Cite
@article{arxiv.1101.3202,
title = {New examples of defective secant varieties of Segre-Veronese varieties},
author = {Hirotachi Abo and Maria Chiara Brambilla},
journal= {arXiv preprint arXiv:1101.3202},
year = {2012}
}
Comments
10 pages