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math.NT2019★ 2 cited
Class numbers of CM algebraic tori, CM abelian varieties and components of unitary Shimura varieties
Jia-Wei Guo, Nai-Heng Sheu, Chia-Fu Yu
We give a formula for the class number of an arbitrary CM algebraic torus over . This is proved based on results of Ono and Shyr. As applications, we give formulas for…
math.NT2019★ 1 cited
Class number relations arising from intersections of Shimura curves and Humbert surfaces
Jia-Wei Guo, Yifan Yang
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 an…