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
Abstract. The aim of this note is to give a simplified proof of the surjectivity of the natural Miln...
73 pages. Many improvements, developments and minor corrections. New numerical examplesWe examine th...
We discussed some details of a construction used in the proof of the generalized Milnor conjecture. ...
AbstractWe show that operations in Milnor K-theory modp of a field are spanned by divided power oper...
Let E be a cyclic extension of degree p n of a field F of characteristic p. We determine kmE, the Mi...
For all positive integers $n$ and all homotopy modules $M_*$, we define certain operations $\underli...
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...
In this paper ∗ we consider Milnor K-theory of fields [Mi]. Let F be a field of characteristic diffe...
In this paper, semilocal Milnor K-theory of fields is introduced and studied. A strongly convergent ...
Consider a complete discrete valuation ring O with quotient field F and finite residue field. Then t...
peer reviewedThis article starts a computational study of congruences of modular forms and modular G...
In this thesis, we give a presentation for Milnor K-theory of a field F whose generators are tuples ...
AbstractLet K and K′ be number fields and K = K ⋔ K′. Suppose KF and K′F are cyclic of prime power d...
AbstractWe construct shuffle products in higher K-theory. The fundamental observation for this is th...
AbstractTransfer Maps, sometimes called norm maps, for Milnor’s K-theory were first defined by Bass ...
Abstract. The aim of this note is to give a simplified proof of the surjectivity of the natural Miln...
73 pages. Many improvements, developments and minor corrections. New numerical examplesWe examine th...
We discussed some details of a construction used in the proof of the generalized Milnor conjecture. ...
AbstractWe show that operations in Milnor K-theory modp of a field are spanned by divided power oper...
Let E be a cyclic extension of degree p n of a field F of characteristic p. We determine kmE, the Mi...
For all positive integers $n$ and all homotopy modules $M_*$, we define certain operations $\underli...
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...
In this paper ∗ we consider Milnor K-theory of fields [Mi]. Let F be a field of characteristic diffe...
In this paper, semilocal Milnor K-theory of fields is introduced and studied. A strongly convergent ...
Consider a complete discrete valuation ring O with quotient field F and finite residue field. Then t...
peer reviewedThis article starts a computational study of congruences of modular forms and modular G...
In this thesis, we give a presentation for Milnor K-theory of a field F whose generators are tuples ...
AbstractLet K and K′ be number fields and K = K ⋔ K′. Suppose KF and K′F are cyclic of prime power d...
AbstractWe construct shuffle products in higher K-theory. The fundamental observation for this is th...
AbstractTransfer Maps, sometimes called norm maps, for Milnor’s K-theory were first defined by Bass ...
Abstract. The aim of this note is to give a simplified proof of the surjectivity of the natural Miln...
73 pages. Many improvements, developments and minor corrections. New numerical examplesWe examine th...
We discussed some details of a construction used in the proof of the generalized Milnor conjecture. ...
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