Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Nicole Marc"'
Let $E/F$ be a quadratic extension of totally real number fields. We show that the generalized Hirzebruch-Zagier cycles arising from the associated Hilbert modular varieties can be put in $p$-adic families. As an application, using the theory of base
Externí odkaz:
http://arxiv.org/abs/2411.02984
Autor:
Longo, Matteo, Nicole, Marc-Hubert
We show that Hida's families of $p$-adic elliptic modular forms generalize to $p$-adic families of Jacobi forms. We also construct $p$-adic versions of theta lifts from elliptic modular forms to Jacobi forms. Our results extend to Jacobi forms previo
Externí odkaz:
http://arxiv.org/abs/1912.07920
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:
Longo, Matteo, Nicole, Marc-Hubert
Publikováno v:
Forum Math., 2019
We relate $p$-adic families of Jacobi forms to Big Heegner points constructed by B. Howard, in the spirit of the Gross-Kohnen-Zagier theorem. We view this as a GL(2) instance of a $p$-adic Kudla program.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/1810.06961
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:
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
Autor:
Goldring, Wushi, Nicole, Marc-Hubert
Publikováno v:
Crelle's Journal (April 3, 2015)
We construct a generalization of the Hasse invariant for any Shimura variety of PEL type A over a prime of good reduction, whose vanishing locus is the open and dense \mu-ordinary locus.
Comment: 13 pages. In this version we have merged our two
Comment: 13 pages. In this version we have merged our two
Externí odkaz:
http://arxiv.org/abs/1305.6956
Autor:
Goldring, Wushi, Nicole, Marc-Hubert
We construct a generalization of the Hasse invariant for certain unitary Shimura varieties of PEL type whose vanishing locus is the complement of the so-called \mu-ordinary locus. We show that the \mu-ordinary locus of those varieties is affine. As a
Externí odkaz:
http://arxiv.org/abs/1302.1614
Autor:
Longo, Matteo, Nicole, Marc-Hubert
We generalize the $\Lambda$-adic Shintani lifting for $GL_2(Q)$ to indefinite quaternion algebras over $Q$.
Comment: 19 pages, to appear in Documenta Math
Comment: 19 pages, to appear in Documenta Math
Externí odkaz:
http://arxiv.org/abs/1210.6739
Publikováno v:
Bull. Soc. Math. France 144 (2016), no. 1, 125/143
Let G be a connected reductive group defined over Q_p. The set of crystals contained in a given G-isocrystal is viewed from a Bruhat-Tits building-theoretic vantage point as a kind of tubular neighborhood of a skeleton characterized by a minimality p
Externí odkaz:
http://arxiv.org/abs/1206.2963