Elmar Grosse-Klonne

activity

20142024

p

Iwahori-Hecke modules to

(φ, Γ)

-modules I

18 citations · 40 across the 17 of their papers we have counts for

collaborators

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9 papers · 1 filter

math.NT2024

On $ψ$ -lattices in modular $(φ, Γ)$ -modules

Elmar Große-Klönne

Let $F / Q_{p}$ be a finite field extension, let $k$ be a finite field extension of the residue field of $F$ . Generalizing the $ψ$ -lattices which Colmez constructed in étale…

math.NT2024

Families of two dimensional modular $(φ, Γ)$ -modules

Elmar Große-Klönne

Let $F / Q_{p}$ be a finite unramified extension, let $k$ be a finite extension of the residue field of $F$ . We provide explicit constructions of integral structures for all…

math.NT2018★ 3 cited

Supersingular Hecke modules as Galois representations

Elmar Große-Klönne

Let $F$ be a local field of mixed characteristic, let $k$ be a finite extension of its residue field, let $H$ be the pro- $p$ -Iwahori Hecke $k$ -algebra attached to ${\rm…

math.NT2018★ 3 cited

A note on multivariable $(φ, Γ)$ -modules

Elmar Große-Klönne

Let $F / Q_{p}$ be a finite field extension, let $k$ be a field of characteristic $p$ . Fix a Lubin Tate group $Φ$ for $F$ and let $Γ \times \dots \times Γ$ with $Γ={\mathcal O}_…

math.NT2017★ 1 cited

From pro- $p$ Iwahori-Hecke modules to $(φ, Γ)$ -modules, II

Elmar Grosse-Klönne

Let $o$ be the ring of integers in a finite extension field of $Q_{p}$ , let $k$ be its residue field. Let $G$ be a split reductive group over $Q_{p}$ , l…

math.NT2015★ 18 cited

From pro- $p$ Iwahori-Hecke modules to $(φ, Γ)$ -modules I

Elmar Grosse-Klönne

Let $o$ be the ring of integers in a finite extension $K$ of $Q_{p}$ , let $k$ be its residue field. Let $G$ be a split reductive group over $Q_{p}$ , let…

math.NT2015

Locally algebraic automorphisms of the $PGL_{2} (F)$ -tree and $o$ -torsion representations

Elmar Grosse-Klönne

For a local field $F$ and an Artinian local coefficient ring $Λ$ with the same positive residue characteristic $p$ we define, for any $e \in N$ , a category ${\mathfrak C}^{…

math.NT2014

Integral structures in automorphic line bundles on the $p$ -adic upper half plane

Elmar Grosse-Klönne

Given an automorphic line bundle $O_{X} (k)$ of weight $k$ on the Drinfel'd upper half plane $X$ over a local field $K$ , we construct a $GL_{2} (K)$ -equivariant integral…

math.NT2014★ 6 cited

On Families of Pure Slope $L$ -Functions

Elmar Grosse-Klönne

Let $R$ be the ring of integers in a finite extension $K$ of $Q_{p}$ , let $k$ be its residue field and let $χ : π_{1} (X) \to R^{\times} = G L_{1} (R)$ be a "geometric" rank one repre…

On ψ-lattices in modular (φ,Γ)-modules

Families of two dimensional modular (φ,Γ)-modules

Supersingular Hecke modules as Galois representations

A note on multivariable (φ,Γ)-modules

From pro-p Iwahori-Hecke modules to (φ,Γ)-modules, II

From pro-p Iwahori-Hecke modules to (φ,Γ)-modules I

Locally algebraic automorphisms of the PGL2​(F)-tree and o-torsion representations

Integral structures in automorphic line bundles on the p-adic upper half plane

On Families of Pure Slope L-Functions

On $ψ$ -lattices in modular $(φ, Γ)$ -modules

Families of two dimensional modular $(φ, Γ)$ -modules

A note on multivariable $(φ, Γ)$ -modules

From pro- $p$ Iwahori-Hecke modules to $(φ, Γ)$ -modules, II

From pro- $p$ Iwahori-Hecke modules to $(φ, Γ)$ -modules I

Locally algebraic automorphisms of the $PGL_{2} (F)$ -tree and $o$ -torsion representations

Integral structures in automorphic line bundles on the $p$ -adic upper half plane

On Families of Pure Slope $L$ -Functions