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arXiv math/0003178math.AGmath.CO
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二项式残差

Binomial Residues

Eduardo Cattani, Alicia Dickenstein, Bernd Sturmfels

摘要:

二项式剩余是由超几何积分定义的有理函数,其核沿着二项式因子是奇异的。二项式剩余为Lawrence型A-超几何系统的有理解提供了一个整表示。给定次数的二项式剩余空间,模那些在某些变量上是多项式的,其维数等于与A相关的拟阵的欧拉示性数。

英文摘要:

A binomial residue is a rational function defined by a hypergeometric integral whose kernel is singular along binomial divisors. Binomial residues provide an integral representation for rational solutions of A-hypergeometric systems of Lawrence type. The space of binomial residues of a given degree, modulo those which are polynomial in some variable, has dimension equal to the Euler characteristic of the matroid associated with A.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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