Overconvergent modular symbols and -adic -functions

R Pollack, G Stevens - Annales scientifiques de l'Ecole normale …, 2011 - numdam.org
R.–Cet article est une exploration constructive des rapports entre les symboles
modulaires classiques et les symboles modulaires p-adiques surconvergents. Plus …

Stark points and-adic iterated integrals attached to modular forms of weight one

H Darmon, A Lauder, V Rotger - Forum of Mathematics, Pi, 2015 - cambridge.org
Let be odd two-dimensional Artin representations for which is self-dual. The progress on
modularity achieved in recent decades ensures the existence of normalized eigenforms of …

The rationality of Stark-Heegner points over genus fields of real quadratic fields

M Bertolini, H Darmon - Annals of mathematics, 2009 - JSTOR
We study the algebraicity of Stark-Heegner points on a modular elliptic curve E. These
objects are p-adic points on E given by the values of certain p-adic integrals, but they are …

Singular moduli for real quadratic fields: a rigid analytic approach

H Darmon, J Vonk - 2021 - projecteuclid.org
A rigid meromorphic cocycle is a class in the first cohomology of the discrete group Γ:= SL 2
(Z [1/p]) with values in the multiplicative group of nonzero rigid meromorphic functions on the …

Stark-Heegner points and the cohomology of quaternionic Shimura varieties

M Greenberg - 2009 - projecteuclid.org
Let F be a totally real field of narrow class number one, and let E/F be a modular, semistable
elliptic curve of conductor N≠(1). Let K/F be a non-CM quadratic extension with (Disc K, N) …

[PDF][PDF] Stark-Heegner points on modular Jacobians

S Dasgupta - Annales scientifiques de l'Ecole normale supérieure, 2005 - numdam.org
We present a construction which lifts Darmon's Stark–Heegner points from elliptic curves to
certain modular Jacobians. Let N be a positive integer and let p be a prime not dividing N …

Diagonal restrictions of p-adic Eisenstein families

H Darmon, A Pozzi, J Vonk - Mathematische Annalen, 2021 - Springer
We compute the diagonal restriction of the first derivative with respect to the weight of ap-
adic family of Hilbert modular Eisenstein series attached to a general (odd) character of the …

[PDF][PDF] Iterated integrals, diagonal cycles and rational points on elliptic curves

H Darmon, V Rotger, I Sols - … de Besançon. Algebre et théorie des …, 2012 - numdam.org
The theme of this article is the connection between the pro-unipotent fundamental group π1
(X; o) of a pointed algebraic curve X, algebraic cycles, iterated integrals, and special values …

Darmon points on elliptic curves over number fields of arbitrary signature

X Guitart, M Masdeu, MH Şengün - Proceedings of the London …, 2015 - academic.oup.com
Darmon points on elliptic curves over number fields of arbitrary signature | Proceedings of the
London Mathematical Society | Oxford Academic Skip to Main Content Advertisement Oxford …

Computations with classical and p-adic modular forms

AGB Lauder - LMS Journal of Computation and Mathematics, 2011 - cambridge.org
We present p-adic algorithms for computing Hecke polynomials and Hecke eigenforms
associated to spaces of classical modular forms, using the theory of overconvergent modular …