Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Rosso, Giovanni"'
We prove algebraicity of critical values of certain Spin $L$-functions. More precisely, our results concern $L(s, \pi \otimes \chi, \mathrm{Spin})$ for cuspidal automorphic representations $\pi$ associated to a holomorphic Siegel eigenform on $\mathr
Externí odkaz:
http://arxiv.org/abs/2408.03442
The aim of this paper is twofold. We first present a construction of overconvergent automorphic sheaves for Siegel modular forms by generalising the perfectoid method, originally introduced by Chojecki-Hansen-Johansson for automorphic forms on compac
Externí odkaz:
http://arxiv.org/abs/2106.00094
Autor:
Morrow, Jackson S., Rosso, Giovanni
Let $K$ be an algebraically closed, complete, non-Archimedean valued field of characteristic zero, and let $\mathscr{X}$ be a $K$-analytic space (in the sense of Huber). In this work, we pursue a non-Archimedean characterization of Campana's notion o
Externí odkaz:
http://arxiv.org/abs/2105.04352
Autor:
Racicot, Jesse, Rosso, Giovanni
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, vol. 24, no. 1, Graph Theory (May 6, 2022) dmtcs:7158
Given a graph and an integer $k$, it is an NP-complete problem to decide whether there is a dominating set of size at most $k$. In this paper we study this problem for the Kn\"odel Graph on $n$ vertices using elementary number theory techniques. In p
Externí odkaz:
http://arxiv.org/abs/2102.00505
Autor:
Gehrmann, Lennart, Rosso, Giovanni
In earlier work, the first named author generalized the construction of Darmon-style $\mathcal{L}$-invariants to cuspidal automorphic representations of semisimple groups of higher rank, which are cohomological with respect to the trivial coefficient
Externí odkaz:
http://arxiv.org/abs/2005.12799
Autor:
Nicole, Marc-Hubert, Rosso, Giovanni
In the first part, we revisit the theory of Drinfeld modular curves and $\pi$-adic Drinfeld modular forms for GL(2) from the perfectoid point of view. In the second part, we review open problems for families of Drinfeld modular forms for GL(n).
Externí odkaz:
http://arxiv.org/abs/1912.07738
Autor:
Nicole, Marc-Hubert, Rosso, Giovanni
Let $F$ be a function field over $\mathbb{F}_q$, $A$ its ring of regular functions outside a place $\infty$ and $\mathfrak{p}$ a prime ideal of $A$. First, we develop Hida theory for Drinfeld modular forms of rank $r$ which are of slope zero for a su
Externí odkaz:
http://arxiv.org/abs/1805.08793
Autor:
Liu, Zheng, Rosso, Giovanni
Publikováno v:
Mathematische Annalen volume 378, pages153--231(2020)
We study the derivative of the standard $p$-adic $L$-function associated with a $P$-ordinary Siegel modular form (for $P$ a parabolic subgroup of $\mathrm{GL}(n)$) when it presents a semi-stable trivial zero. This implies part of Greenberg's conjectu
Externí odkaz:
http://arxiv.org/abs/1803.10273
Autor:
Brasca, Riccardo, Rosso, Giovanni
Publikováno v:
Amer. Journal of Math., Volume 143, Number 3, June 2021, 715--751
We develop Hida theory for Shimura varieties of type A without ordinary locus. In particular we show that the dimension of the space of ordinary forms is bounded independently of the weight and that there is a module of $\Lambda$-adic cuspidal ordina
Externí odkaz:
http://arxiv.org/abs/1711.05546
Autor:
NICOLE, Marc-Hubert, ROSSO, Giovanni
Publikováno v:
Journal de Théorie des Nombres de Bordeaux, 2021 Jan 01. 33(3), 1045-1067.
Externí odkaz:
https://www.jstor.org/stable/48649687