Non-defectivity of Segre-Veronese varieties
arXiv:2406.20057 · doi:10.1090/bproc/248
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.
12 pages