scientific article; zbMATH DE number 915648

José Bertin, Luc Illusie, Jean-Pierre Demailly, C. A. M. Peters

Publication date: 12 August 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Calabi-Yau manifolds characteristic \(p\)Frobenius morphism Yukawa couplings Gauss-Manin connexion Picard-Fuchs equation vanishing theorems Higgs bundles Hodge theory variation of Hodge structures Picard-Lefschetz theory De Rham complex mirror symmetries Cartier isomorphism period domains De Rham cohomology algebra Hodge degeneration two-dimensional conformal quantum field theories very-ampleness of line bundles

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Hodge theory in global analysis (58A14) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Variation of Hodge structures (algebro-geometric aspects) (14D07) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

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