June 24, 2024Open Access

Potential Modularity of CM K3 Surfaces

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Resumen

The author proves the potential modularity of K3 surfaces with complex multiplication in this paper. This is an application of the main theorem of complex multiplication for K3 surfaces by J. Rizov. As some examples, we discuss Fermat quartic and Kummer surfaces

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Cite This Study

Rikuto Ito (Mon,) studied this question.

synapsesocial.com/papers/68e63919b6db6435875cb436 https://doi.org/https://doi.org/10.48550/arxiv.2406.16325

Also Consider

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2On the component group of the algebraic monodromy group of a K3 surface2024
3Stable sheaves on K3 surfaces via wall-crossing2024 · 2 citations
4Modular Vector Fields for Lattice Polarized K32024
5Differential forms on universal <i>K</i>3 surfaces2024

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