Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.

DOI10.1515/crll.1988.391.100zbMath0657.10022OpenAlexW113308794MaRDI QIDQ3804778

Rainer Weissauer

Publication date: 1988

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN00220598X

zbMATH Keywords

theta seriesPicard numbermixed Hodge structureTate conjectureSiegel upper half-spacecompact modelssingular cohomology groupsspace of holomorphic alternating differential forms of degree two

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Picard groups (14C22) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Automorphic functions (32N99)

Related Items (6)

Lefschetz properties for noncompact arithmetic ball quotients ⋮ AUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDS ⋮ The meromorphic continuation of the zeta function of Siegel modular threefolds over totally real fields ⋮ The Siegel modular variety of degree two and level three ⋮ Algebraic cycles on genus-2 modular fourfolds ⋮ Restriction of the holomorphic cohomology of a Shimura variety to a smaller Shimura variety.

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