Siegel cusp forms as holomorphic differential forms on certain compact varieties

DOI10.1007/BF01456064zbMath0488.14004OpenAlexW2019300084MaRDI QIDQ1165913

Kazuyuki Hatada

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163721

zbMATH Keywords

Siegel cusp formselliptic modular surfacecompactification of family of Abelian varietiesspace of holomorphic forms

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Arithmetic ground fields for abelian varieties (14K15) Automorphic forms in several complex variables (32N10)

Related Items (4)

Correspondences for Hecke rings and \(\ell\)-adic cohomology groups on smooth compactifications of Siegel modular varieties ⋮ On the local zeta functions of the Hilbert modular schemes ⋮ Universal abelian variety and Siegel modular forms ⋮ Hecke Operators and Systems of Eigenvalues on Siegel Cusp Forms

Cites Work

• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• On elliptic modular surfaces
• On compact analytic surfaces. II
• A Formula for the Dimension of Spaces of Siegel Cusp Forms of Degree Three
• HOLOMORPHIC DIFFERENTIAL FORMS OF HIGHER DEGREE ON KUGA’S MODULAR VARIETIES
• On Rational Singuarities

This page was built for publication: Siegel cusp forms as holomorphic differential forms on certain compact varieties