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

被引：0

作者：

Bod, Esther ^{[1
]}

机构：

[1] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2014年 / 25卷 / 03期

关键词：

Hypergeometric functions; Algebraic functions; Polygons; LATTICE POLYGONS; EQUATIONS; NUMBER;

D O I：

10.1016/j.indag.2013.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2013 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：427 / 453

页数：27

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[3] A-hypergeometric functions in transcendental questions of algebraic geometry
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[4] A-hypergeometric functions in transcendental questions of algebraic geometry
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[5] On the Algebraic Independence of the Values of Functions Associated with Hypergeometric Functions
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