Picard-Fuchs equations for relative periods and Abel-Jacobi map for Calabi-Yau hypersurfaces

DOI10.1353/ajm.2012.0039zbMath1253.14036arXiv0910.4215OpenAlexW2088747366MaRDI QIDQ3165209

Si Li, Shing Tung Yau, Bong H. Lian

Publication date: 26 October 2012

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

Full work available at URL: https://arxiv.org/abs/0910.4215

zbMATH Keywords

Picard-Fuchs equationsbranesAbel-Jacobi mapCalabi-YauGKZ-hypergeometric

Mathematics Subject Classification ID

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) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

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