Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Masdeu, Marc"'
Autor:
Masdeu, Marc, Xarles, Xavier
We describe an efficient iterative algorithm for the computation of theta functions of non-archimedean Schottky groups and, more generally, of (non-archimedean) discontinuous groups.
Comment: 16 pages, comments welcome!
Comment: 16 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2408.14918
For modular elliptic curves over number fields of narrow class number one, and with multiplicative reduction at a collection of p-adic primes, we define new p-adic invariants. Inspired by Nekovar and Scholl's plectic conjectures, we believe these inv
Externí odkaz:
http://arxiv.org/abs/2104.12566
Rigid meromorphic cocycles were introduced by Darmon and Vonk as a conjectural $p$-adic extension of the theory of singular moduli to real quadratic base fields. They are certain cohomology classes of $\mathrm{SL}_2(\mathbb{Z}[1/p])$ which can be eva
Externí odkaz:
http://arxiv.org/abs/2010.06898
The main purpose of this note is to understand the arithmetic encoded in the special value of the $p$-adic $L$-function $\mathcal{L}_p^g(\mathbf{f},\mathbf{g},\mathbf{h})$ associated to a triple of modular forms $(f,g,h)$ of weights $(2,1,1)$, in the
Externí odkaz:
http://arxiv.org/abs/1912.07892
Publikováno v:
In Advances in Mathematics 17 September 2022 406
We give archimedean and non-archimedean constructions of Darmon points on modular abelian varieties attached to automorphic forms over arbitrary number fields and possibly non-trivial central character. An effort is made to present a unifying point o
Externí odkaz:
http://arxiv.org/abs/1709.06929
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2021 Jan 01. 33(3), 809-834.
Externí odkaz:
https://www.jstor.org/stable/48649679
Publikováno v:
Indiana University Mathematics Journal, 2020 Jan 01. 69(4), 1251-1274.
Externí odkaz:
https://www.jstor.org/stable/26959460
Autor:
Guitart, Xavier, Masdeu, Marc
Let F be a number field and N an integral ideal in its ring of integers. Let f be a modular newform over F of level Gamma0(N) with rational Fourier coefficients. Under certain additional conditions, Guitart-Masdeu-Sengun constructed a p-adic lattice
Externí odkaz:
http://arxiv.org/abs/1607.05465
The Langlands Programme predicts that a weight 2 newform f over a number field K with integer Hecke eigenvalues generally should have an associated elliptic curve E_f over K. In our previous paper, we associated, building on works of Darmon and Green
Externí odkaz:
http://arxiv.org/abs/1501.02936