Motivic Modularity of CM K3 Surfaces

Abstract

The main result of this paper is the explicit construction of algebraic Hecke characters of K3 surfaces defined over a number field $k\subset \mathbb{C}$ with complex multiplication. In particular, we give the explicit determination of the algebraic Hecke characters of Kummer surfaces associated to simple abelian surfaces with complex multiplication.

arXiv comment16 pages