Commutator coverings of Siegel threefolds.

DOI10.1215/S0012-7094-98-09421-2zbMath1037.11503arXivalg-geom/9702007OpenAlexW2037216480MaRDI QIDQ1974858

Valery Gritsenko, Klaus Hulek

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9702007

zbMATH Keywords

geometric genusmoduli spaceSiegel modular threefoldssmooth projective modelparamodular groupcanonical differential formscusp forms of small weightexceptional polarizationsmaximal Abelian coveringpolarized Abelian surfaces

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Complex multiplication and moduli of abelian varieties (11G15) Algebraic moduli of abelian varieties, classification (14K10) Modular and Shimura varieties (14G35)

Related Items

CHARACTERS OF PARAMODULAR GROUPS AND SOME EXTENSIONS ⋮ Uniruledness of orthogonal modular varieties ⋮ Modular forms of orthogonal type and Jacobi theta-series ⋮ On the upper bound of the orders of Jacobi forms ⋮ Jacobi forms that characterize paramodular forms ⋮ Mapping class groups of highly connected \((4k+2)\)-manifolds ⋮ Borcherds products everywhere ⋮ Paramodular cusp forms ⋮ The Hecke algebras for the orthogonal group SO(2,3) and the paramodular group of degree 2 ⋮ Abelianisation of orthogonal groups and the fundamental group of modular varieties ⋮ \(K3\) surfaces with interesting groups of automorphisms ⋮ Reflective modular forms and applications

Cites Work

• The theory of Jacobi forms
• Jacobi forms and a certain space of modular forms
• Equations of \((1,d)\)-polarized abelian surfaces
• Real Linear Characters of the Symplectic Modular Group
• AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART II
• Moduli of Polarised Abelian Surfaces
• Moduli of Abelian surfaces with a (1, p ² ) polarization
• Minimal Siegel modular threefolds
• On Siegel Modular Forms of Genus Two
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