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20162024
most citedLa filtration canonique des -modules -divisibles

2 citations · 5 across the 9 of their papers we have counts for

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math.NT2024

Patching and multiplicities of p-adic eigenforms

Eugen Hellmann, Valentin Hernandez, Benjamin Schraen

We prove the existence of non-classical -adic automorphic eigenforms associated to a classical system of eigenvalues on definite unitary groups in variables. These eigenform…

math.NT2022

The infinite fern in higher dimensions

Valentin Hernandez, Benjamin Schraen

If is an automorphic modulo Galois representation, it is natural to wonder if automorphic points are Zariski dense in the deformation space of . We prove new res…

math.NT2019

Families of coherent PEL automorphic forms

Valentin Hernandez

We construct Eigenvarieties for PEL Shimura varieties which interpolate cuspidal, finite slope automorphic forms for PEL Shimura varieties appearing as global sections of (coherent…

math.NT2017★ 2 cited

Families of Picard modular forms and an application to the Bloch-Kato conjecture

Valentin Hernandez

In this article we construct a -adic three dimensional Eigenvariety for the group , where is a quadratic imaginary field and is inert in . The Eigenvariety…

math.NT2016★ 1 cited

Groupes -divisibles avec condition de Pappas-Rapoport et invariants de Hasse

Stephane Bijakowski, Valentin Hernandez

We study -divisible groups endowed with an action of the ring of integers of a finite (possibly ramified) extension of over a scheme of characteristic . We…

math.NT2016★ 2 cited

La filtration canonique des -modules -divisibles

Valentin Hernandez

English : In this article we associate to , a truncated -divisible -module of given signature, where is a finite unramified extension of $\mathbb{Z}_…

math.NT2016

Invariants de Hasse -ordinaires

Valentin Hernandez

In this article, we construct in a purely local way partial (Hasse) invariants for -divisible groups with given endomorphisms, using crystalline cohomology. Theses invariants ge…