Using topological cyclic homology, we give a refinement of Beilinson'sp-adic Goodwillie
isomorphism between relative continuous K-theory and cyclic homology. As a result, we …

Abstract Building upon the Bloch–Kato conjecture in Milnor K-theory, we relate the third
unramified cohomology group with Q/Z coefficients with a group which measures the failure …

The Gersten conjecture for Milnor K-theory Page 1 DOI: 10.1007/s00222-008-0144-8 Invent.
math. 175, 1–33 (2009) The Gersten conjecture for Milnor K-theory Moritz Kerz ⋆ NWF I-Mathematik …

We advance the understanding of K–theory of quadratic forms by computing the slices of the
motivic spectra representing hermitian K–groups and Witt groups. By an explicit computation …

We propose a definition of improved Milnor K-groups of local rings with finite residue fields,
such that the improved Milnor K-sheaf in the Zariski topology is a universal extension of the …

Let A be a local ring in which 2 is invertible. It is known that the localization of the
cohomology ring H ét∗(A, ℤ∕ 2) with respect to the class (− 1)∈ H ét 1 (A, ℤ∕ 2) is …

We show, for a smooth projective variety X over an algebraically closed field k with an
effective Cartier divisor D, that the torsion subgroup CH 0 (X| D){l} can be described in terms …

Let G be a linear algebraic group over an infinite field k. Loosely speaking, a G-torsor over a
k-variety is said to be versal if it specializes to every G-torsor over any k-field. The existence …

Descent techniques in algebraic K-theory by Hyungseop Kim A thesis submitted in conformity
with the requirements for the degree Page 1 Descent techniques in algebraic K-theory by …

A celebrated theorem of Merkurjev—that the 2-torsion of the Brauer group is represented by
Clifford algebras of quadratic forms—is in general false when the base is no longer a field …