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arXiv · 2312.12335

Nondefectivity of invariant secant varieties

Alexander Taveira Blomenhofer·Alex Casarotti
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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.

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Alexander Taveira Blomenhofer, Alex Casarotti. 2024-01-23. Nondefectivity of invariant secant varieties. https://arxiv.org/abs/2312.12335

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