论文标题

O(5)中的薄曲

Thin monodromy in O(5)

论文作者

Bajpai, Jitendra, Nitsche, Martin

论文摘要

本文研究了5度的正交高几何组。我们从[4,表6]中建立了O(3,2)的19个超几何组中的12个。其中一些示例与卡拉比野4倍有关。我们还建立了[12]中O(4,1)的17种超几何组中的9个薄度,其中已经证明了其他7例其他情况的薄度。预计O(4,1)类的组都很薄,我们的结果叶只有一个案例打开。

This article studies the orthogonal hypergeometric groups of degree five. We establish the thinness of 12 out of the 19 hypergeometric groups of type O(3,2) from [4, Table 6]. Some of these examples are associated with Calabi-Yau 4-folds. We also establish the thinness of 9 out of the 17 hypergeometric groups of type O(4,1) from [12], where the thinness of 7 other cases was already proven. The O(4,1) type groups were predicted to be all thin and our result leaves just one case open.

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