Non-defectivity of Segre-Veronese varieties
Algebraic Geometry
2025-02-24 v1
Abstract
We prove that Segre-Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree and dimension. As a corollary, we give an almost optimal non-defectivity result for Segre-Veronese varieties with one degree equal to one and all the others at least three.
Cite
@article{arxiv.2406.20057,
title = {Non-defectivity of Segre-Veronese varieties},
author = {Hirotachi Abo and Maria Chiara Brambilla and Francesco Galuppi and Alessandro Oneto},
journal= {arXiv preprint arXiv:2406.20057},
year = {2025}
}
Comments
12 pages