On automorphic forms and Hodge theory

DOI10.1007/BF01458280zbMath0476.32039OpenAlexW2004730089MaRDI QIDQ1160321

Jürgen Neukirch, Pilar Bayer

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/163547

zbMATH Keywords

cocompact Fuchsian grouppolarised Hodge structurespace of automorphic forms of weight k+2

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms in several complex variables (32N10) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Cohomology theory for linear algebraic groups (20G10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Automorphic functions in symmetric domains (32N15)

Related Items (7)

The Eichler-Shimura cohomology in the case of Siegel modular forms ⋮ Mixed cusp forms and holomorphic forms on elliptic varieties ⋮ JACOBI-LIKE FORMS, PSEUDODIFFERENTIAL OPERATORS, AND GROUP COHOMOLOGY ⋮ A geometric perspective on \(p\)-adic properties of mock modular forms ⋮ The cohomology of \(p\)-adic symmetric spaces ⋮ Mixed automorphic forms and invariants of elliptic surfaces ⋮ On the Kronecker pairing for mixed cusp forms

Cites Work

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• Eine Verallgemeinerung der Abelschen Integrale
• On integrals attached to automorphic forms
• Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
• Sur quelques points d'algèbre homologique

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