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arXiv · 1903.07225

Class number relations arising from intersections of Shimura curves and Humbert surfaces

Jia-Wei Guo·Yifan Yang
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Abstract

By considering the intersections of Shimura curves and Humbert surfaces on the Siegel modular threefold, we obtain new class number relations. The result is a higher-dimensional analogue of the classical Hurwitz-Kronecker class number relation.

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Jia-Wei Guo, Yifan Yang. 2019-03-18. Class number relations arising from intersections of Shimura curves and Humbert surfaces. https://arxiv.org/abs/1903.07225

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