Geometric interpretation of Hermitian modular forms via Burkhardt invariants

DOI10.1007/s00031-021-09681-warXiv2004.08081OpenAlexW3016507170MaRDI QIDQ6152217

Atsuhira Nagano, Hironori Shiga

Publication date: 11 March 2024

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08081

zbMATH Keywords

theta functions\(K3\) surfacescomplex reflection groupsHermitian modular forms

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) (K3) surfaces and Enriques surfaces (14J28) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Hermitian modular forms and the Burkhardt quartic
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• Graded rings of Hermitian modular forms of degree 2
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• Inverse period mappings of \(K3\) surfaces and a construction of modular forms for a lattice with the Kneser conditions
• On Siegel modular forms. Part I.
• Modular Forms and Projective Invariants
• Finite Unitary Reflection Groups

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