A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations

Esther Bod

doi:10.1016/j.indag.2013.10.002

A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations

Esther Bod^*

^*Corresponding author for this work

Fundamental mathematics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We consider A-hypergeometric functions associated to normal sets in the plane.We give a classification of all point configurations for which there exists a parameter vector such that the associated hypergeometric function is algebraic. In particular, we show that there are no irreducible algebraic functions if the number of boundary points is sufficiently large and A is not a pyramid.

Original language	English
Pages (from-to)	427–453
Number of pages	27
Journal	Indagationes Mathematicae
Volume	25
Issue number	3
Early online date	19 Oct 2013
DOIs	https://doi.org/10.1016/j.indag.2013.10.002
Publication status	Published - 18 Apr 2014

Keywords

Hypergeometric functions
Algebraic functions
Polygons

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10.1016/j.indag.2013.10.002

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abstract = "We consider A-hypergeometric functions associated to normal sets in the plane.We give a classification of all point configurations for which there exists a parameter vector such that the associated hypergeometric function is algebraic. In particular, we show that there are no irreducible algebraic functions if the number of boundary points is sufficiently large and A is not a pyramid.",

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AB - We consider A-hypergeometric functions associated to normal sets in the plane.We give a classification of all point configurations for which there exists a parameter vector such that the associated hypergeometric function is algebraic. In particular, we show that there are no irreducible algebraic functions if the number of boundary points is sufficiently large and A is not a pyramid.

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KW - Algebraic functions

KW - Polygons

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JO - Indagationes Mathematicae

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A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations

Abstract

Keywords

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