An exact geometric mass formula
Number Theory
2007-06-26 v1
Authors:
Chia-Fu Yu
Comments: 8 pages
Abstract
We show an exact geometric mass formula for superspecial points in the reduction of any quaternionic Shimura variety modulo at a good prime p.
Cite
@article{arxiv.0706.3474,
title = {An exact geometric mass formula},
author = {Chia-Fu Yu},
journal= {arXiv preprint arXiv:0706.3474},
year = {2007}
}
Related papers
View all related →
Number Theory · Mathematics
Simple mass formulas on Shimura varieties of PEL-type
Chia-Fu Yu
2007-06-25
Number Theory · Mathematics
Mass formula for supersingular abelian surfaces
Chia-Fu Yu, Jeng-Daw Yu
2009-02-03
Combinatorics · Mathematics
Mass formula for self-orthogonal codes over Z_{p^2}
Rowena A. L. Betty, Akihiro Munemasa
2010-06-15
Number Theory · Mathematics
On the superspecial loci of orthogonal type Shimura varieties
Haining Wang
2019-11-28
Number Theory · Mathematics
Mass formulas and the basic locus of unitary Shimura varieties
Yasuhiro Terakado, Chia-Fu Yu
2022-10-11
Number Theory · Mathematics
Simultaneous supersingular reductions of abelian varieties
Xiaoyu Zhang
2025-08-18
Number Theory · Mathematics
On the supersingular locus of Shimura varieties for quaternionic unitary groups
Yasuhiro Terakado, Jiangwei Xue, Chia-Fu Yu
2023-12-01
Geometric Topology · Mathematics
Parametrizing Shimura subvarieties of $\mathrm{A}_1$ Shimura varieties and related geometric problems
Benjamin Linowitz, Matthew Stover
2016-07-06
Algebraic Geometry · Mathematics
The supersingular locus of unitary Shimura varieties with exotic good reduction
Haifeng Wu
2016-10-26
Number Theory · Mathematics
Reductions of subgroups of the multiplicative group
Christophe Debry, Antonella Perucca
2014-09-18
High Energy Physics - Theory · Physics
The Exact Mass-Gap of the Supersymmetric CP^{n-1} Sigam Model
Jonathan M. Evans, Timothy J. Hollowood
2009-10-28
Number Theory · Mathematics
Formulas For The Square Root Modulo p
N. A. Carella
2023-12-19
Number Theory · Mathematics
Supercongruences for a truncated hypergeometric series
Roberto Tauraso
2011-05-24
Number Theory · Mathematics
An effective bound of $p$ for algebraic points on Shimura curves of $\Gamma_0(p)$-type
Keisuke Arai
2013-01-01
Algebraic Geometry · Mathematics
PEL moduli spaces without $\mathbb C$-valued points
Oliver Bültel
2022-07-19
Number Theory · Mathematics
Explicit formulas for Masses of Ternary Quadratic Lattices of varying determinant over Number Fields
Jonathan Hanke
2011-09-07
High Energy Physics - Theory · Physics
The Exact Mass-Gap of the Supersymmetric O(N) Sigma Model
Jonathan M. Evans, Timothy J. Hollowood
2009-10-28
Number Theory · Mathematics
CM points have everywhere good reduction
Benjamin Bakker, Jacob Tsimerman
2024-10-04
Number Theory · Mathematics
Explicit reduction modulo $p$ of certain crystalline representations
Kevin Buzzard, Toby Gee
2010-09-07
Analysis of PDEs · Mathematics
A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods
Jay Appleton, Brian Helenbrook
2019-06-27
Number Theory · Mathematics
Heights of Special Points on Quaternionic Shimura Varieties
Roy Zhao
2023-09-19
High Energy Physics - Theory · Physics
An exact formula for the radiation of a moving quark in N=4 super Yang Mills
Diego Correa, Johannes Henn, Juan Maldacena, Amit Sever
2015-06-04
Geometric Topology · Mathematics
Effective contraction of skinning maps
Tommaso Cremaschi, Lorenzo Dello Schiavo
2022-12-13
Number Theory · Mathematics
Explicit formulas for Grassmannian polylogarithms
Steven Charlton, Herbert Gangl, Danylo Radchenko
2022-08-03
Differential Geometry · Mathematics
Moduli of triples of points in quaternionic hyperbolic geometry
Igor Almeida, Nikolay Gusevskii
2024-01-11