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arXiv 1707.04581math.CO
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环面h-向量与对偶超单形的Chow贝蒂数

Toric h-vectors and Chow Betti Numbers of Dual Hypersimplices

Charles Wang, Josephine Yu

摘要:

对偶超单形的环面h数和超单形的正规扇的Chow贝蒂数分别是Grassmannian中泛点的环面轨道闭包的交上同调和Chow上同调的秩。我们给出了这些数的显式公式。我们还证明了类似的公式对A^* 型格的配位数也成立。

英文摘要:

The toric h-numbers of a dual hypersimplex and the Chow Betti numbers of the normal fan of a hypersimplex are the ranks of intersection cohomology and Chow cohomology respectively of the torus orbit closure of a generic point in the Grassmannian. We give explicit formulas for these numbers. We also show that similar formulas hold for the coordinator numbers of type A^* lattices.

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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