Logarithm-free A-hypergeometric series
Logarithm-free A-hypergeometric series
复制标题
无对数 A 超几何级数
DOI：
10.1215/s0012-7094-02-11512-9
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发表时间：
2000
影响因子：
2.5
通讯作者：
M. Saito
中科院分区：
文献类型：
--
作者：
M. Saito
给出了A-超几何（或GKZ超几何）系统的无量纲级数解空间的维数公式。在A所张成的凸船体为单形的情况下，给出了系统的秩公式，刻画了例外集，证明了A所定义的复曲面簇的Cohen-Macaulay性与例外集的空性的等价性.此外，我们把A-超几何系统分类为解析D-模。
We give a dimension formula for the space of logarithm-free series solutions to an A-hypergeometric (or a GKZ hypergeometric) system. In the case where the convex hull spanned by A is a simplex, we give a rank formula for the system, characterize the exceptional set, and prove the equivalence of the Cohen-Macaulayness of the toric variety defined by A with the emptiness of the exceptional set. Furthermore we classify A-hypergeometric systems as analytic D-modules.