L'objectif de cette thèse est l'obtention de formules de classes équivariantes dans différents contextes : d'une part lorsque A = F_q[θ], G est un groupe abélien fini et E est un module d'Anderson et d'autre part lorsque A est général, d_\infty = 1, G est un groupe d'ordre premier à p et E est un module d'Anderson admissible.The goal of this thesis if to proove equivariant class formulas in different contexts. The first one is when A=F_q[θ], G is an abelian finite group and E is an Anderson module. The second one is when A is general, d_\infty=1, G is group of cardinal prime to p and E is an admissible Anderson module
abelianbnf is a gp script computing class groups of abelian fields using the methods described in th...
Motivated by the work of Jürgen Neukirch and Ivan Fesenko we propose a general definition of an abel...
Abstract. LetK/k be an abelian extension of global fields (i.e. number fields or function fields of ...
The goal of this thesis if to proove equivariant class formulas in different contexts. The first one...
AbstractIn this paper abelian function fields are restricted to the subfields of cyclotomic function...
2014-07-30We study the computation of the structure of two finite abelian groups associated with fun...
International audienceIn 2012 Taelman proved a class formula for Drinfeld F_q[θ]-modules. For an arb...
An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebr...
Some corrections and improvement of the writing - New numerical examples and references: 27 pages Wi...
Les invariants arithmétiques les plus profonds attachés à une variété algébrique définie sur un corp...
AbstractWe study the arithmetic aspects of the finite group of extensions of abelian varieties defin...
The deepest arithmetic invariants attached to an algebraic variety defined over a number field are c...
térisation explicite des extensions abéliennes de K de degre ́ p en reliant les coefficients des p...
Recently, the second author has associated a finite Fq[T]-module H to the Carlitz module over a fini...
Matematyki i Informatyki: Zakład Arytmetycznej Geometrii AlgebraicznejNiniejsza rozprawa jest poświę...
abelianbnf is a gp script computing class groups of abelian fields using the methods described in th...
Motivated by the work of Jürgen Neukirch and Ivan Fesenko we propose a general definition of an abel...
Abstract. LetK/k be an abelian extension of global fields (i.e. number fields or function fields of ...
The goal of this thesis if to proove equivariant class formulas in different contexts. The first one...
AbstractIn this paper abelian function fields are restricted to the subfields of cyclotomic function...
2014-07-30We study the computation of the structure of two finite abelian groups associated with fun...
International audienceIn 2012 Taelman proved a class formula for Drinfeld F_q[θ]-modules. For an arb...
An algebraic number field is a finite extension of Q; an algebraic number is an element of an algebr...
Some corrections and improvement of the writing - New numerical examples and references: 27 pages Wi...
Les invariants arithmétiques les plus profonds attachés à une variété algébrique définie sur un corp...
AbstractWe study the arithmetic aspects of the finite group of extensions of abelian varieties defin...
The deepest arithmetic invariants attached to an algebraic variety defined over a number field are c...
térisation explicite des extensions abéliennes de K de degre ́ p en reliant les coefficients des p...
Recently, the second author has associated a finite Fq[T]-module H to the Carlitz module over a fini...
Matematyki i Informatyki: Zakład Arytmetycznej Geometrii AlgebraicznejNiniejsza rozprawa jest poświę...
abelianbnf is a gp script computing class groups of abelian fields using the methods described in th...
Motivated by the work of Jürgen Neukirch and Ivan Fesenko we propose a general definition of an abel...
Abstract. LetK/k be an abelian extension of global fields (i.e. number fields or function fields of ...