参数系与A-超几何系统的完整性
Systems of parameters and holonomicity of A-hypergeometric systems
摘要：
主要结果是A-超几何系统的完整性的初等证明，对它们的奇点的行为没有要求，最初是由于Adolphson [1994]在Gelfand和Gelfand [GG 86]的正则奇异情况之后。我们的方法产生了一个直接的从头证明，A-超几何系统形成完整的家庭在其参数空间，所示的Matusevich，Miller，和Walther [MMW 05]。
英文摘要：
The main result is an elementary proof of holonomicity for A-hypergeometric systems, with no requirements on the behavior of their singularities, originally due to Adolphson [Ado94] after the regular singular case by Gelfand and Gelfand [GG86]. Our method yields a direct de novo proof that A-hypergeometric systems form holonomic families over their parameter spaces, as shown by Matusevich, Miller, and Walther [MMW05].
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