The universal \(p\)-adic Gross-Zagier formula
From MaRDI portal
Publication:2084777
DOI10.1007/s00222-022-01133-wOpenAlexW2998640175MaRDI QIDQ2084777
Publication date: 13 October 2022
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.00045
Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)
Related Items (6)
p-adic L-functions via local–global interpolation: the case of ⋮ THE p-ADIC GROSS–ZAGIER FORMULA ON SHIMURA CURVES, II: NONSPLIT PRIMES ⋮ A \(p\)-adic arithmetic inner product formula ⋮ Local Langlands correspondence, local factors, and zeta integrals in analytic families ⋮ The \(p\)-adic variation of the Gross-Kohnen-Zagier theorem ⋮ A note on rank one quadratic twists of elliptic curves and the non-degeneracy of 𝑝-adic regulators at Eisenstein primes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exceptional zero formulae and a conjecture of Perrin-Riou
- Syntomic cohomology and \(p\)-adic regulators for varieties over \(p\)-adic fields
- \(p\)-adic heights of generalized Heegner cycles
- Explicit Gross-Zagier and Waldspurger formulae
- Heegner points and \(p\)-adic \(L\)-functions for elliptic curves over certain totally real fields
- Conductors in \(p\)-adic families
- \(p\)-adic heights of Heegner points on Shimura curves
- \(p\)-adic \(L\)-functions for CM fields
- On the \(p\)-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields
- Kolyvagin's method for Chow groups and Kuga-Sato varieties
- Variation of Heegner points in Hida families
- Hida families and rational points on elliptic curves
- Heegner points and derivatives of \(L\)-series
- Points de Heegner et dérivées de fonctions L p-adiques. (Heegner points and derivatives of p-adic L-functions)
- On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
- A rigid analytic Gross-Zagier formula and arithmetic applications. (With an appendix by B. Edixhoven)
- Heights of Heegner cycles and derivatives of L-series
- Algebras of \(p\)-adic distributions and admissible representations
- Derivatives of \(p\)-adic \(L\)-functions, Heegner cycles and monodromy modules attached to modular forms
- Residually reducible representations and modular forms
- Special values of anticyclotomic \(L\)-functions for modular forms
- Arithmetic theta lifts and the arithmetic Gan-Gross-Prasad conjecture for unitary groups
- Exceptional zero formulae for anticyclotomic \(p\)-adic \(L\)-functions of elliptic curves in the ramified case
- Théorie de la descente et algèbres d'Azumaya
- On the \(p\)-adic height of Heegner cycles
- A proof of the Mahler-Manin conjecture
- Characterization of characters and pseudo-characters
- Motivic \(L\)-functions and Galois module structures
- Generalized Heegner cycles and \(p\)-adic Rankin \(L\)-series. With an appendix by Brian Conrad
- Big Heegner points and generalized Heegner cycles
- On the non-vanishing of \(p\)-adic heights on CM abelian varieties, and the arithmetic of Katz \(p\)-adic \(L\)-functions
- Chow groups and \(L\)-derivatives of automorphic motives for unitary groups
- On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture
- Spherical varieties and norm relations in Iwasawa theory
- On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
- Plectic \(p\)-adic invariants
- On \(p\)-adic L-functions of \(GL(2)\times GL(2)\) over totally real fields
- \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin
- \(p\)-adic \(L\)-functions and \(p\)-adic periods of modular forms
- Anticyclotomic main conjectures
- Heegner cycles and higher weight specializations of big Heegner points
- A \(p\)-adic Waldspurger formula
- Heegner cycles and derivatives of \(p\)-adic \(L\)-functions
- On the \(\mu\)-invariant of anticyclotomic \(p\)-adic \(L\)-functions for CM fields
- On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms
- Congruent numbers and Heegner points
- On some results of Atkin and Lehner
- CM points and quaternion algebras
- Automorphic symbols, <i>p</i>-adic <i>L</i>-functions and ordinary cohomology of Hilbert modular varieties
- Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula
- On the -invariant of the cyclotomic derivative of a Katzp-adic -function
- Darmon points on elliptic curves over number fields of arbitrary signature
- p-adic Cohomology and classicality of overconvergent Hilbert modular forms
- CM cycles on Shimura curves, and p-adic L-functions
- Formes Modulaires et Representations De GL(2)
- Local Langlands correspondence, local factors, and zeta integrals in analytic families
- Local ε-Factors and Characters of GL(2)
- Compatibility of local and global Langlands correspondences
- Quadratic Exercises in Iwasawa Theory
- Hilbert modular forms and p-adic Hodge theory
- Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner
- Leading terms of anticyclotomic Stickelberger elements and 𝑝-adic periods
- On the derivative of anticyclotomic p-adic L-functions for Hilbert modular forms
- Duality for admissible locally analytic representations
- Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
- Familles p-adiques de formes automorphes pour GLn
- The Gross-Zagier Formula on Shimura Curves
- Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
- Incoherent Definite Spaces and Shimura Varieties
- Heegner points in Coleman families
- Hida families and p-adic triple product L-functions
- Interpolation of generalized Heegner cycles in Coleman families
- Diagonal classes and the Bloch–Kato conjecture
- TWISTED TRIPLE PRODUCT -ADIC L-FUNCTIONS AND HIRZEBRUCH–ZAGIER CYCLES
- ON THE -ADIC VARIATION OF HEEGNER POINTS
- Anticyclotomic 𝑝-adic 𝐿-functions and the exceptional zero phenomenon
- Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules
- A refined Beilinson–Bloch conjecture for motives of modular forms
- The -adic Gross–Zagier formula on Shimura curves
- The Iwasawa theoretic Gross–Zagier theorem
- Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications.
This page was built for publication: The universal \(p\)-adic Gross-Zagier formula
