A Theorem Concerning the Differential Equations Satisfied by Normal Functions Associated to Algebraic Cycles

DOI10.2307/2373941zbMath0453.14001OpenAlexW2332192092MaRDI QIDQ3900166

Phillip A. Griffiths

Publication date: 1979

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e46ad4ffe04cce11fb7df4362af1d7ad430d2d3a

zbMATH Keywords

monodromyPicard-Fuchs equationsalgebraic cyclesHodge conjecturenormal functionsHodge bundleintermediate jacobianLefschetz pencil of hyperplane sections

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Picard schemes, higher Jacobians (14K30) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) de Rham cohomology and algebraic geometry (14F40) Divisors, linear systems, invertible sheaves (14C20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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