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arXiv · 2406.16325

Motivic Modularity of CM K3 Surfaces

Rikuto Ito
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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.

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Rikuto Ito. 2024-06-24. Motivic Modularity of CM K3 Surfaces. https://arxiv.org/abs/2406.16325

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