Class number relations arising from intersections of Shimura curves and Humbert surfaces
Number Theory
2019-03-19 v1 Algebraic Geometry
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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Cite
@article{arxiv.1903.07225,
title = {Class number relations arising from intersections of Shimura curves and Humbert surfaces},
author = {Jia-Wei Guo and Yifan Yang},
journal= {arXiv preprint arXiv:1903.07225},
year = {2019}
}
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20 pages