HYPERGEOMETRIC SERIES AND HODGE CYCLES OF FOUR DIMENSIONAL CUBIC HYPERSURFACES

DOI10.1142/S1793042106000632zbMath1110.14012arXivmath/0507436MaRDI QIDQ3421793

Stefan Reiter, Hossein Movasati

Publication date: 8 February 2007

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507436

zbMATH Keywords

hypergeometric functionJacobian varietyHodge cycle

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (4)

Mixed Hodge structure of affine hypersurfaces ⋮ Periods of Hodge cycles and special values of the Gauss' hypergeometric function ⋮ Algebraic cycles from a computational point of view ⋮ On elliptic modular foliations

Uses Software

• SINGULAR

Cites Work

• Values of hypergeometric functions
• The topology of complex projective varieties after S. Lefschetz
• On the periods of certain rational integrals. I, II

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