AbstractWe show that operations in Milnor K-theory modp of a field are spanned by divided power operations. After giving an explicit formula for divided power operations and extending them to some new cases, we determine for all fields k0 and all prime numbers p, all the operations KiM/p→KjM/p commuting with field extensions over the base field k0. Moreover, the integral case is discussed and we determine the operations KiM/p→KjM/p for smooth schemes over a field
In this paper, semilocal Milnor $K$-theory of fields is introduced and studied. A strongly convergen...
International audienceThe author applies the so-called reflexion principle given by the Kummer duali...
AbstractLet K1 and K2 be number fields and F = K1 ⋔ K2. Suppose K1F and K2F are of prime degree p bu...
AbstractWe show that operations in Milnor K-theory modp of a field are spanned by divided power oper...
For all positive integers $n$ and all homotopy modules $M_*$, we define certain operations $\underli...
We describe the action of power operations on the p-completed cooperation algebras K^0K = K0(K)^p fo...
AbstractLet K and K′ be number fields and K = K ⋔ K′. Suppose KF and K′F are cyclic of prime power d...
The Witt ring of quadratic forms over a field has divided power operations. On the other hand, it fo...
We fix a prime number $p$ and $\K$ a number field, we denote by $M$ the maximal abelian $p$-extensio...
Abstract. Fix a symbol a in the mod-ℓ Milnor K-theory of a field k, and a norm variety X for a. We s...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
In this thesis, we give a presentation for Milnor K-theory of a field F whose generators are tuples ...
AbstractWe prove a conjecture of Monks [4] on the relation between the admissible basis and the Miln...
AbstractWe describe mod p cohomology rings of Eilenberg-MacLane spaces in terms of the Milnor basis ...
We classify additive operations in connective K-theory with various torsion-free coefficients. We di...
In this paper, semilocal Milnor $K$-theory of fields is introduced and studied. A strongly convergen...
International audienceThe author applies the so-called reflexion principle given by the Kummer duali...
AbstractLet K1 and K2 be number fields and F = K1 ⋔ K2. Suppose K1F and K2F are of prime degree p bu...
AbstractWe show that operations in Milnor K-theory modp of a field are spanned by divided power oper...
For all positive integers $n$ and all homotopy modules $M_*$, we define certain operations $\underli...
We describe the action of power operations on the p-completed cooperation algebras K^0K = K0(K)^p fo...
AbstractLet K and K′ be number fields and K = K ⋔ K′. Suppose KF and K′F are cyclic of prime power d...
The Witt ring of quadratic forms over a field has divided power operations. On the other hand, it fo...
We fix a prime number $p$ and $\K$ a number field, we denote by $M$ the maximal abelian $p$-extensio...
Abstract. Fix a symbol a in the mod-ℓ Milnor K-theory of a field k, and a norm variety X for a. We s...
AbstractLet Fq be a finite field with q elements where q is a power of a prime p. Also, let M be any...
In this thesis, we give a presentation for Milnor K-theory of a field F whose generators are tuples ...
AbstractWe prove a conjecture of Monks [4] on the relation between the admissible basis and the Miln...
AbstractWe describe mod p cohomology rings of Eilenberg-MacLane spaces in terms of the Milnor basis ...
We classify additive operations in connective K-theory with various torsion-free coefficients. We di...
In this paper, semilocal Milnor $K$-theory of fields is introduced and studied. A strongly convergen...
International audienceThe author applies the so-called reflexion principle given by the Kummer duali...
AbstractLet K1 and K2 be number fields and F = K1 ⋔ K2. Suppose K1F and K2F are of prime degree p bu...
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