Hypergeometric functions for projective toric curves

Christine Berkesch Zamaere; Jens Forsgård; Laura Felicia Matusevich

doi:10.1016/j.aim.2016.03.032

Hypergeometric functions for projective toric curves

Christine Berkesch Zamaere, Jens Forsgård, Laura Felicia Matusevich

Mathematics

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3 Scopus citations

Abstract

We produce a decomposition of the parameter space of the A-hypergeometric system associated to a projective monomial curve as a union of an arrangement of lines and its complement, in such a way that the analytic behavior of the solutions of the system is explicitly controlled within each term of the union.

Original language	English (US)
Pages (from-to)	835-867
Number of pages	33
Journal	Advances in Mathematics
Volume	300
DOIs	https://doi.org/10.1016/j.aim.2016.03.032
State	Published - Sep 10 2016

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Publisher Copyright:
© 2016 Elsevier Inc.

Keywords

A-hypergeometric functions
Amoebas
Euler integrals
Mellin transforms
Monomial curves

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title = "Hypergeometric functions for projective toric curves",

abstract = "We produce a decomposition of the parameter space of the A-hypergeometric system associated to a projective monomial curve as a union of an arrangement of lines and its complement, in such a way that the analytic behavior of the solutions of the system is explicitly controlled within each term of the union.",

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AU - Forsgård, Jens

AU - Matusevich, Laura Felicia

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KW - Amoebas

KW - Euler integrals

KW - Mellin transforms

KW - Monomial curves

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Hypergeometric functions for projective toric curves

Abstract

Bibliographical note

Keywords

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