Neighbors and arithmetic of isogenous K3 surfaces

Autor:	Valloni, Domenico
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We use lattice theory to study the isogeny class of a K3 surface. Starting from isotropic Brauer classes, we construct isogenies via Kneser method of neighboring lattices. We also determine the fields of definition of isogenous K3 surfaces, and study Kneser construction over number fields. We then apply our results to relate conjectures about the finiteness of Brauer groups and N\'{e}ron-Severi lattices of K3 surfaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.02560 Zobrazit plný text záznamu View this record from Arxiv