Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials

DOI10.1007/978-1-4614-6403-7_9zbMath1302.14034arXiv1109.3462OpenAlexW1632239040MaRDI QIDQ2926118

Swantje Gährs

Publication date: 30 October 2014

Published in: Fields Institute Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3462

zbMATH Keywords

monodromyPoincaré seriesPicard-Fuchs equationGKZ systemsinvertible polynomialsGriffiths-Dwork method

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Period matrices, variation of Hodge structure; degenerations (32G20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Zeta functions of alternate mirror Calabi-Yau families ⋮ Counting points with Berglund–Hübsch–Krawitz mirror symmetry ⋮ Introduction to Arithmetic Mirror Symmetry ⋮ Global mirror symmetry for invertible simple elliptic singularities ⋮ Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials ⋮ Hypergeometric decomposition of symmetric \(K3\) quartic pencils ⋮ Zeta functions of monomial deformations of Delsarte hypersurfaces ⋮ On genus one mirror symmetry in higher dimensions and the BCOV conjectures ⋮ Period integrals associated to an affine Delsarte type hypersurface ⋮ Alternate mirror families and hypergeometric motives ⋮ Periods of the multiple Berglund-Hübsch-Krawitz mirrors

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