Constructions of derived equivalent hyper-K\'ahler fourfolds

Autor:	Kapustka, Grzegorz, Kapustka, Michał
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We study twisted derived equivalences of hyper-K\"ahler fourfolds. We describe when two hyper-K\"ahler fourfolds of $K3^{[2]}$-type of Picard rank $1$ with isomorphic transcendental lattices are derived equivalent. Then we present new constructions of pairs of twisted derived equivalent hyper-K\"ahler manifolds of Picard rank $\geq 2$. Comment: 35 pages, comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.14543 Zobrazit plný text záznamu View this record from Arxiv