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<p>The main result of this paper is the explicit construction of algebraic Hecke characters of K3 surfaces defined over a number field <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(k\subset \mathbb {C}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>⊂</mo> <mi mathvariant="double-struck">C</mi> </mrow> </math></EquationSource> </InlineEquation> 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.</p>

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Motivic modularity of CM K3 surfaces

  • 期刊论文

  • 发表日期：

    2026年7月6日

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  • Rikuto Ito

摘要

The main result of this paper is the explicit construction of algebraic Hecke characters of K3 surfaces defined over a number field \(k\subset \mathbb {C}\) k ⊂ 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.