Non-defectivity of Segre-Veronese varieties

Autor:	Abo, Hirotachi, Brambilla, Maria Chiara, Galuppi, Francesco, Oneto, Alessandro
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry 14N05 14N07
Druh dokumentu:	Working Paper
Popis:	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. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.20057 Zobrazit plný text záznamu View this record from Arxiv