We study the local lifting problem of actions of semidirect products of a cyclic $p$-group by a cyclic prime to $p$ group, where $p$ is the characteristic of the special fibre. We give a criterion based on Harbater-Katz-Gabber compactification of local actions, which allows us to decide whether a local action lifts or not. In particular for the case of dihedral group we give an example of dihedral local action that can not lift and in this way we give a stronger obstruction than the KGB-obstruction.Comment: 21 page
In this thesis, we study the interplay between positive and zero characteristic. In a first instance...
It is known that an abelian variety over a finite field may not admit a lifting to an abelian variet...
We study G-valued Galois deformation rings with prescribed properties, where G is an arbitrary (not ...
We study the local lifting problem of actions of semidirect products of a cyclic $p$-group by a cycl...
The lifting problem that we consider asks: given a smooth curve in characteristic p and a group of a...
Suppose $\phi$ is a $\mathbb{Z}/4$-cover of a curve over an algebraically closed field $k$ of charac...
Let $\ell$ and $p$ be distinct primes, $F$ an $\ell$-adic field with absolute Galois group $\Gamma_F...
The lifting problem asks whether one can lift Galois covers of curves defined over positive characte...
Given a Galois cover of curves $f$ over a field of characteristic $p$, the lifting problem asks whet...
Our aim is to find out new things about lifting problems in general and Oort groups in particular. W...
AbstractThere is an abundance of Galois representations in characteristic p that arise as the modp r...
Soit k un corps algébriquement clos de caractéristique p et R un anneau de valuation discrète domina...
This is the author accepted manuscript. The final version is available from World Scientific Publish...
Using Galois representations attached to elliptic curves, we construct Galois extensions of $\mathbb...
Our aim is to find out new things about lifting problems in general and Oort groups in particular. W...
In this thesis, we study the interplay between positive and zero characteristic. In a first instance...
It is known that an abelian variety over a finite field may not admit a lifting to an abelian variet...
We study G-valued Galois deformation rings with prescribed properties, where G is an arbitrary (not ...
We study the local lifting problem of actions of semidirect products of a cyclic $p$-group by a cycl...
The lifting problem that we consider asks: given a smooth curve in characteristic p and a group of a...
Suppose $\phi$ is a $\mathbb{Z}/4$-cover of a curve over an algebraically closed field $k$ of charac...
Let $\ell$ and $p$ be distinct primes, $F$ an $\ell$-adic field with absolute Galois group $\Gamma_F...
The lifting problem asks whether one can lift Galois covers of curves defined over positive characte...
Given a Galois cover of curves $f$ over a field of characteristic $p$, the lifting problem asks whet...
Our aim is to find out new things about lifting problems in general and Oort groups in particular. W...
AbstractThere is an abundance of Galois representations in characteristic p that arise as the modp r...
Soit k un corps algébriquement clos de caractéristique p et R un anneau de valuation discrète domina...
This is the author accepted manuscript. The final version is available from World Scientific Publish...
Using Galois representations attached to elliptic curves, we construct Galois extensions of $\mathbb...
Our aim is to find out new things about lifting problems in general and Oort groups in particular. W...
In this thesis, we study the interplay between positive and zero characteristic. In a first instance...
It is known that an abelian variety over a finite field may not admit a lifting to an abelian variet...
We study G-valued Galois deformation rings with prescribed properties, where G is an arbitrary (not ...
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