An exact geometric mass formula
Chia-Fu Yu
TL;DR
This paper presents an exact geometric mass formula for superspecial points in the reduction of quaternionic Shimura varieties at good primes, providing precise counts and structural insights.
Contribution
It introduces a novel exact mass formula for superspecial points in quaternionic Shimura varieties at good primes.
Findings
Exact count of superspecial points achieved
Structural properties of the reduction clarified
Provides a tool for further arithmetic geometry studies
Abstract
We show an exact geometric mass formula for superspecial points in the reduction of any quaternionic Shimura variety modulo at a good prime .
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometry and complex manifolds