Formal groups attached to elliptic modular forms

DOI10.1007/BF01389896zbMath0423.14027OpenAlexW2057072134MaRDI QIDQ1134195

Takayuki Oda

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142754

zbMATH Keywords

finite fieldPicard numberformal groupelliptic modular curvesdeformation cohomologyelliptic modular surfaces

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Formal groups, (p)-divisible groups (14L05) Special surfaces (14J25)

Cites Work

• Unnamed Item
• The cohomological dimension of certain Grothendieck topologies
• Formal groups and zeta-functions
• On the theory of commutative formal groups
• On elliptic modular surfaces
• On rational points of the generic elliptic curve with level N structure over the field of modular functions of level N
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Cohomology in the finite topology and Brauer groups
• Formal groups arising from algebraic varieties
• Commutative formal groups