复曲面簇中完全交Calabi-Yau三重Hodge数的封闭形式表示
Closed form expressions for Hodge numbers of complete intersection Calabi-Yau threefolds in toric varieties
摘要：
我们使用Batyrev-Borisov公式的生成函数的弦Hodge数的Calabi-Yau品种实现为完全交叉的环面品种，以获得封闭形式的表达式的Hodge数的Calabi-Yau三倍在五维环境空间。这些表达式涉及相关凯莱多面体的面上的晶格点的计数。使用相同的技术，对于实现为两个超曲面的完全相交的高维变量，可以获得类似的表达式。
英文摘要：
We use Batyrev-Borisov's formula for the generating function of stringy Hodge numbers of Calabi-Yau varieties realized as complete intersections in toric varieties in order to get closed form expressions for Hodge numbers of Calabi-Yau threefolds in five-dimensional ambient spaces. These expressions involve counts of lattice points on faces of associated Cayley polytopes. Using the same techniques, similar expressions may be obtained for higher dimensional varieties realized as complete intersections of two hypersurfaces.
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