\(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space. III: The case \(r(M) \geq 18\)

DOI10.1007/s00209-011-0928-1zbMath1252.14022arXiv1007.2841OpenAlexW2021854726MaRDI QIDQ455669

Ken-Ichi Yoshikawa

Publication date: 22 October 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.2841

zbMATH Keywords

analytic torsionautomorphic form\(K3\) surface with involution

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Determinants and determinant bundles, analytic torsion (58J52) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Moduli, classification: analytic theory; relations with modular forms (14J15)

Related Items (4)

K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant ⋮ $K3$ surfaces with involution and analytic torsion ⋮ BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures ⋮ Torsion type invariants of singularities

Cites Work

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• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• \(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space
• Equivariant immersions and Quillen metrics
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• Analytic torsion for complex manifolds
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof

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