AbstractThe smallness is proved of étale fundamental groups for arithmetic schemes. This is a higher dimensional analogue of the Hermite–Minkowski theorem. We also refer to the case of varieties over finite fields. As an application, we prove certain finiteness results of representations of the fundamental groups over algebraically closed fields
Abstract. In this paper we provide a wildness criterion for any finite dimen-sional Hopf algebra wit...
International audienceIn this paper we introduce the local Nori fundamental group scheme of a reduce...
We show that a tower of torsors under affine group schemes can be dominated by a torsor. Moreover, i...
Let k be an algebraically closed field. Chambert-Loir proved that the étale fundamental group of a ...
AbstractFor smooth varieties over finite fields, we prove that the shifted (aka derived) Witt groups...
We show that the classification of simple finite group schemes over an alge- braically closed field ...
ABSTRACT. We discuss the notion of essential dimension of a finite group (over C) and explain its re...
Abstract. We develop a method of creating skew congruences on subpowers of finite algebras using gro...
In this Note I will explain the result of [3] whose subject is the arithmetic fun-damental group wit...
We prove universality theorems ("Murphy's Laws") for representation schemes of fundamental ...
This works is divided into three independent chapters.In the first one, various results are proved r...
The combinatorial notion of a "small set" in an abstract group was introduced by Bella and Malykhin....
Minor modifications and correctionsLet K be a number field and A an abelian variety over K. We are i...
AbstractFinding minimal fields of definition for representations of finite groups is one of the most...
We discuss essential dimension of group schemes, with particular attention to infinitesimal group sc...
Abstract. In this paper we provide a wildness criterion for any finite dimen-sional Hopf algebra wit...
International audienceIn this paper we introduce the local Nori fundamental group scheme of a reduce...
We show that a tower of torsors under affine group schemes can be dominated by a torsor. Moreover, i...
Let k be an algebraically closed field. Chambert-Loir proved that the étale fundamental group of a ...
AbstractFor smooth varieties over finite fields, we prove that the shifted (aka derived) Witt groups...
We show that the classification of simple finite group schemes over an alge- braically closed field ...
ABSTRACT. We discuss the notion of essential dimension of a finite group (over C) and explain its re...
Abstract. We develop a method of creating skew congruences on subpowers of finite algebras using gro...
In this Note I will explain the result of [3] whose subject is the arithmetic fun-damental group wit...
We prove universality theorems ("Murphy's Laws") for representation schemes of fundamental ...
This works is divided into three independent chapters.In the first one, various results are proved r...
The combinatorial notion of a "small set" in an abstract group was introduced by Bella and Malykhin....
Minor modifications and correctionsLet K be a number field and A an abelian variety over K. We are i...
AbstractFinding minimal fields of definition for representations of finite groups is one of the most...
We discuss essential dimension of group schemes, with particular attention to infinitesimal group sc...
Abstract. In this paper we provide a wildness criterion for any finite dimen-sional Hopf algebra wit...
International audienceIn this paper we introduce the local Nori fundamental group scheme of a reduce...
We show that a tower of torsors under affine group schemes can be dominated by a torsor. Moreover, i...
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