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
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.
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