Motivic Modularity of CM K3 Surfaces
Number Theory
2025-02-04 v3 Algebraic Geometry
Abstract
Piatetski-Shapiro and Shafarevich proved the L-functions of K3 surfaces of CM type are expressed as the product of some Hecke L-functions by changing their base fields. In this paper, the aurhor gives the explicit description of these Hecke characters and base fields.
Cite
@article{arxiv.2406.16325,
title = {Motivic Modularity of CM K3 Surfaces},
author = {Rikuto Ito},
journal= {arXiv preprint arXiv:2406.16325},
year = {2025}
}
Comments
14 pages