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- W1632239040 abstract "In this article we calculate the Picard–Fuchs equation of hypersurfaces defined by certain one-parameter families associated to invertible polynomials. For this we deduce the Picard–Fuchs equation from the GKZ system. As consequences of our work and facts from the literature, we show a relation between the Picard–Fuchs equation, the Poincaré series and the monodromy in the space of period integrals.Key wordsPicard–Fuchs equationInvertible polynomialsGriffiths–Dwork methodGKZ systemsPoincaré seriesMonodromyMathematics Subject Classifications (2010)Primary 14J33Secondary 32G2032S4034M3514J32" @default.
- W1632239040 created "2016-06-24" @default.
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- W1632239040 date "2013-01-01" @default.
- W1632239040 modified "2023-09-25" @default.
- W1632239040 title "Picard–Fuchs Equations of Special One-Parameter Families of Invertible Polynomials" @default.
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- W1632239040 doi "https://doi.org/10.1007/978-1-4614-6403-7_9" @default.
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