Cover Image

Exceptional zeros for Heegner points and $p$-converse to the theorem of Gross-Zagier and Kolyvagin

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Castella, Francesc
Format:	Preprint
Published:	2024
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A rank zero $p$-converse to a theorem of Gross--Zagier, Kolyvagin and Rubin
by: Burungale, Ashay A., et al.
Published: (2025)

On refined nonvanishing conjectures by Kurihara and Kolyvagin
by: Castella, Francesc, et al.
Published: (2026)

$p$-adic Waldspurger Formula for Non-split Primes and Converse of Gross--Zagier and Kolyvagin Theorem
by: Fan, Yangyu, et al.
Published: (2023)

Non-vanishing of Kolyvagin systems and Iwasawa theory
by: Burungale, Ashay, et al.
Published: (2023)

An anticyclotomic Euler system of Hirzebruch--Zagier cycles I: Norm relations and $p$-adic interpolation
by: Alonso, Raúl, et al.
Published: (2025)

The Gross--Kohnen--Zagier theorem via $p$-adic uniformization
by: Beneish, Lea, et al.
Published: (2024)

Big Heegner points, generalized Heegner classes and $p$-adic $L$-functions in the quaternionic setting
by: Longo, Matteo, et al.
Published: (2024)

Quaternionic families of Heegner points and $p$-adic $L$-functions
by: Longo, Matteo, et al.
Published: (2025)

The universal $p$-adic Gross-Zagier formula
by: Disegni, Daniel
Published: (2019)

Tamagawa number conjecture for CM modular forms and Rankin--Selberg convolutions
by: Castella, Francesc
Published: (2024)

On the Iwasawa theory of elliptic curves at Eisenstein primes
by: Castella, Francesc
Published: (2024)

Generalised Kato classes on CM elliptic curves of rank 2
by: Castella, Francesc
Published: (2022)

A formula of Perrin-Riou and characteristic power series of signed Selmer groups
by: Castella, Francesc
Published: (2025)

A higher Gross-Zagier formula and the structure of Selmer groups
by: Kim, Chan-Ho
Published: (2022)

The Gross-Zagier formula on singular moduli for Shimura curves
by: Phillips, Andrew
Published: (2025)

Heegner point constructions and fundamental units in cubic fields
by: Karighattam, Arav V.
Published: (2024)

Plectic Heegner classes
by: Fornea, Michele
Published: (2026)

$p$-adic Higher Green's Functions for Stark-Heegner Cycles
by: Hassan, Hazem
Published: (2025)

A proof of $p$-adic Gross--Zagier theorem via BDP formula
by: Büyükboduk, Kâzım, et al.
Published: (2026)

Critical Lambda-adic modular forms and bi-ordinary complexes
by: Castella, Francesc, et al.
Published: (2024)

Diagonal cycles and anticyclotomic Iwasawa theory of modular forms
by: Castella, Francesc, et al.
Published: (2023)

Base change and Iwasawa Main Conjectures for ${\rm GL}_2$
by: Burungale, Ashay, et al.
Published: (2024)

Mazur's main conjecture at Eisenstein primes
by: Castella, Francesc, et al.
Published: (2023)

Hirzebruch-Zagier cycles in $p$-adic families and adjoint $L$-values
by: Cauchi, Antonio, et al.
Published: (2024)

Derived $p$-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$-adic $L$-function
by: Castella, Francesc, et al.
Published: (2023)

On the refined Herglotz-Zagier function
by: Huang, Ziyi
Published: (2024)

Deformations of Theta Integrals and A Conjecture of Gross-Zagier
by: Bruinier, Jan H., et al.
Published: (2022)

On a Conjecture of Yui and Zagier II
by: Li, Yingkun, et al.
Published: (2025)

p-adic equidistribution of modular geodesics and of Heegner points on Shimura curves
by: Pérez-Piña, Patricio
Published: (2024)

Selmer ranks under quadratic twists satisfying the Heegner hypothesis
by: Konstantinou, Alexandros
Published: (2025)

Interpolation of generalized Heegner classes along quaternionic Coleman families
by: Walchek, Eris Rocha
Published: (2025)

The $p$-adic Gross-Zagier formula on Shimura curves, II: nonsplit primes
by: Disegni, Daniel
Published: (2019)

The hyperbolic circle problem over Heegner points
by: Chatzakos, Dimitrios, et al.
Published: (2025)

Quaternionic big Heegner points over totally real fields
by: Jiménez, Ignacio M.
Published: (2025)

Redefining Euler-Rabinowitsch Polynomials with Heegner Number Based Quadratic Formulation
by: Kumaresan, Sudarshan, et al.
Published: (2025)

Computer vision and converse theorems
by: He, Yang-Hui, et al.
Published: (2026)

On the Artin formalism for triple product $p$-adic $L$-functions: Chow--Heegner points vs. Heegner points
by: Büyükboduk, Kâzım, et al.
Published: (2024)

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

Kolyvagin's conjecture for modular forms
by: Longo, Matteo, et al.
Published: (2024)

On anticyclotomic Euler and Kolyvagin systems
by: Mastella, Luca, et al.
Published: (2025)