Nondefectivity of invariant secant varieties
Algebraic Geometry
2024-01-24 v2
Abstract
We show that a large class of secant varieties is nondefective. In particular, we positively resolve most cases of the Baur-Draisma-de Graaf conjecture on Grassmannian secants in large dimensions. Our result improves the known bounds on nondefectivity for various other secant varieties, including Chow varieties, Segre-Veronese varieties and Gaussian moment varieties. We also give bounds for identifiability and the generic ranks.
Cite
@article{arxiv.2312.12335,
title = {Nondefectivity of invariant secant varieties},
author = {Alexander Taveira Blomenhofer and Alex Casarotti},
journal= {arXiv preprint arXiv:2312.12335},
year = {2024}
}
Comments
15 pages, 2 figures