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

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.

20 pages

Cited by in corpus (1)

• On class number relations, intersections, and GL(2)-tale over the function field side