Non-existence of low rank Ulrich bundles on Veronese varieties

Autor:	Lopez, Angelo Felice, Raychaudhury, Debaditya
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We show that Veronese varieties of dimension $n \ge 4$ do not carry any Ulrich bundles of rank $r \le 3$. In order to prove this, we prove that a Veronese embedding of a complete intersection of dimension $m \ge 4$, which if $m=4$ is either $\mathbb P^4$ or has degree $d \ge 2$ and is very general and not of type $(2), (2,2)$, does not carry any Ulrich bundles of rank $r \le 3$. Comment: arXiv admin note: text overlap with arXiv:2405.01154
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.08162 Zobrazit plný text záznamu View this record from Arxiv