Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes. (Rédigé par J. L. Brylinski)

DOI10.24033/msmf.276zbMath0453.14020OpenAlexW1260480983MaRDI QIDQ3900181

Pierre Deligne

Publication date: 1980

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1980_2_2__23_0

zbMATH Keywords

de Rham cohomologycomplex multiplicationperiodsmotivesl-adic cohomologyCM typeabsolute Hodge cyclesHodge cycle on abelian variety

Mathematics Subject Classification ID

Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Complex multiplication and abelian varieties (14K22) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (p)-adic cohomology, crystalline cohomology (14F30) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Arithmetic vector bundles and automorphic forms on Shimura varieties. I ⋮ Higher Ramanujan Equations and Periods of Abelian Varieties ⋮ Division fields of abelian varieties with complex multiplication

Cites Work

• On the derivatives of theta functions and modular forms
• Division fields of abelian varieties with complex multiplication
• The periods of abelian varieties with complex multiplication and the spectral values of certain zeta functions
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