Cover Image

The Gross-Zagier formula on singular moduli for Shimura curves

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Phillips, Andrew
Format:	Preprint
Published:	2025
Subjects:	Number Theory Algebraic Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Canonical singularities on moduli spaces of rational curves via the circle method
by: Glas, Jakob
Published: (2024)

Arithmetic level raising on triple product of Shimura curves and Gross--Kudla--Schoen Diagonal cycles II: Bipartite Euler system
by: Wang, Haining
Published: (2020)

Mumford-type Shimura curves contained in the Torelli locus
by: Bouchet, Thomas, et al.
Published: (2025)

Finiteness properties for Shimura curves and modified diagonal cycles
by: Qiu, Congling
Published: (2023)

On the geometric connected components of moduli spaces of p-adic shtukas and local Shimura varieties
by: Gleason, Ian
Published: (2021)

Intersections of special cycles on Shimura curves and Siegel Maass forms
by: Bruinier, Jan Hendrik, et al.
Published: (2026)

Arithmetic quantum local systems over the moduli of curves
by: Oh, Gyujin
Published: (2025)

Shimura varieties and gerbes
by: Langlands, Robert P., et al.
Published: (2025)

Nonnegativity of signed Euler characteristics of moduli of curves and abelian varieties
by: Arapura, Donu, et al.
Published: (2024)

Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4)
by: Goncharov, Alexander B., et al.
Published: (2018)

Special endomorphisms of QM abelian surfaces
by: Phillips, Andrew
Published: (2025)

Height moduli on cyclotomic stacks and counting elliptic curves over function fields
by: Bejleri, Dori, et al.
Published: (2022)

Torsion Vanishing for Some Shimura Varieties
by: Hamann, Linus, et al.
Published: (2023)

Cones of orthogonal Shimura subvarieties and equidistribution
by: Zuffetti, Riccardo
Published: (2022)

Igusa Stack for some exceptional Shimura Varieties
by: Partofard, Ali
Published: (2025)

Systems of Hecke eigenvalues on subschemes of Shimura varieties
by: Reppen, Stefan
Published: (2024)

Theta operators on Hodge type Shimura varieties
by: Ortiz, Martin
Published: (2026)

Integral canonical models of exceptional Shimura varieties
by: Bakker, Benjamin, et al.
Published: (2024)

Hybrid Conjecture in a Mixed Shimura variety
by: Richard, Rodolphe, et al.
Published: (2026)

Integral canonical models for Spin Shimura varieties
by: Pera, Keerthi Madapusi
Published: (2012)

Algebraic Independence of Special Points on Shimura Varieties
by: Fu, Yu, et al.
Published: (2024)

Perfectoid unitary Shimura varieties and $p$-adic Eichler-Shimura map I
by: Zhao, Ruishen
Published: (2026)

Genus formulas for dormant modular curves and asymptotic behavior of their function fields
by: Aoyama, Kohei, et al.
Published: (2026)

Positivity of automorphic vector bundles on unitary Shimura varieties
by: Yang, Deding
Published: (2025)

Overconvergent Eichler-Shimura morphisms for $\mathrm{GSp}_4$
by: Diao, Hansheng, et al.
Published: (2025)

Unitary Shimura varieties at ramified primes and arithmetic transfer
by: Luo, Yu, et al.
Published: (2025)

p-adic Borel extension for local Shimura varieties
by: Oswal, Abhishek, et al.
Published: (2025)

S=T for Shimura Varieties and Moduli Spaces of p-adic Shtukas
by: Wu, Zhiyou
Published: (2021)

Modularity of special cycles on Shimura varieties: a survey
by: Greer, François, et al.
Published: (2026)

Canonical Heights on Shimura Varieties and the André-Oort Conjecture
by: Pila, Jonathan, et al.
Published: (2021)

The prismatic realization functor for Shimura varieties of abelian type
by: Imai, Naoki, et al.
Published: (2023)

Igusa stacks for certain abelian-type Shimura varieties
by: Schnelle, Fabian
Published: (2026)

High dimensional Gross--Zagier formula: a survey
by: Zhang, Wei
Published: (2024)

Arithmetic compactifications of integral models of Shimura varieties of abelian type
by: Wu, Peihang
Published: (2025)

Finiteness of function field-valued points on exceptional Shimura varieties
by: Bakker, Benjamin, et al.
Published: (2025)

Log Prismatic Dieudonné theory and its application to Shimura varieties
by: Inoue, Kentaro
Published: (2025)

Integral models of Shimura varieties with parahoric level structure, II
by: Kisin, Mark, et al.
Published: (2024)

Arithmetic level raising for certain quaternionic unitary Shimura variety
by: Wang, Haining
Published: (2022)

Cycles on splitting models of Shimura varieties
by: Hove, Thibaud van den
Published: (2026)

On the Supersingular Locus of the $\mathrm{GU}(2,n-2)$ Shimura Variety
by: Shimada, Ryosuke
Published: (2024)