The singular locus of Lauricella's F_C

Ryohei Hattori; Nobuki Takayama

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The singular locus of Lauricella's F_C

机译：Lauricella F_C的唯一轨迹

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摘要

We determine the singular locus of the holonomic system of differential equations annihilating Lauricella's hypergeometric function F_C by the theory of D-modules and of Groebner bases. We also study the A-hypergeometric system associated to F_C.

机译：我们通过D模和Groebner基的理论，确定了消灭Lauricella超几何函数F_C的微分方程完整系统的奇异轨迹。我们还研究了与F_C相关的A超几何系统。

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来源
《Journal of the Mathematical Society of Japan》 |2014年第3期|981-995|共15页
作者
Ryohei Hattori; Nobuki Takayama;
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作者单位

Department of Mathematics Hokkaido University Sapporo 060-0810, Japan;

Department of Mathematics Kobe University Kobe 657-8501, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Lauricella's hypergeometric differential equation; singular locus; D-module; Grobner basis; A-hypergeometric systems;

机译：Lauricella超几何微分方程;单一轨迹D模块Grobner基础;超几何系统;

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3. Singularities in positive characteristic, stratification and simplification of the singular locus [J] . Bravo A., Villamayor O. Advances in Mathematics . 2010,第4期

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The singular locus of Lauricella's F_C

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