Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants
Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants
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与超球面排列和 Cayley-Menger 行列式相关的超几何积分
DOI：
10.14492/hokmj/1591085012
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发表时间：
2017
影响因子：
0.5
通讯作者：
Y. Machida
中科院分区：
文献类型：
--
作者：
K. Aomoto;Y. Machida
通过n维扭上同调及其对偶的配对，给出了与超球排列相关的n维超几何积分。在一般位置的条件下，给出了扭上同调的标准型的一个特殊（NBC）基的显式表示，相应积分的变分公式用Cayley-Menger行列式的特殊不变1-形式表示.高斯-马宁连接也制定，并明确提出了在两个最简单的情况下。
The n-dimensional hypergeometric integrals associated with a hypersphere arrangement are formulated by the pairing of n-dimensional twisted cohomology and its dual. Under the condition of general position there are stated some results which concern an explicit representation of the standard form by a special (NBC) basis of the twisted cohomology, the variational formula of the corresponding integral in terms of special invariant 1-forms written by Cayley-Menger minor determinants. Gauss-Manin connection is also formulated and is explicitly presented in two simplest cases.
关于双曲和球面四面体的体积
DOI：
--
发表时间：
--
期刊：
Communications in Analysis and Geometry (掲載予定)
影响因子：
--
作者：
J.Murakami;A.Yano
通讯作者：
A.Yano