Theory of the Siegel Modular Variety

zbMATH Open1248.14049arXiv0706.4268MaRDI QIDQ3117640

Jae-Hyun Yang

Publication date: 29 February 2012

Abstract: In this paper, we discuss the theory of the Siegel modular variety in the aspects of arithmetic and geometry. This article covers the theory of Siegel modular forms, the Hecke theory, a lifting of elliptic cusp forms, geometric properties of the Siegel modular variety, (hypothetical) motives attached to Siegel modular forms and a cohomology of the Siegel modular variety.

Full work available at URL: https://arxiv.org/abs/0706.4268

zbMATH Keywords

abelian varietiesSatake parametersSiegel modular formsmotivesSiegel modular varietylifting invariant holomorphic differential formsproportionality theorem

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Algebraic moduli of abelian varieties, classification (14K10) Jacobi forms (11F50)

Related Items (2)

Siegel modular forms and representations ⋮ Subvarieties of Siegel modular varieties of general type.

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