A Collection of Manuscripts Written in Honour of Alexander S. Merkurjev on the Occasion of His Sixtieth Birthday

pp. iii–iv
Contents
pp. 1–4
Preface
V. ChernousovE. FriedlanderS. GaribaldiZ. ReichsteinP. BalmerI. Fesenko
DOI 10.4171/DMS/7/1
pp. 7–29
Secondary characteristic classes and the Euler class
Aravind AsokJean Fasel
DOI 10.4171/DMS/7/2
pp. 31–70
Quadric surface bundles over surfaces
Asher AuelR. ParimalaV. Suresh
DOI 10.4171/DMS/7/3
pp. 71–83
Hermitian lattices and bounds in $K$ -theory of algebraic integers
Eva Bayer-FluckigerJulien HourietVincent Emery
DOI 10.4171/DMS/7/4
pp. 85–112
Stably Cayley semisimple groups.
Boris KunyavskiiMikhail Borovoi
DOI 10.4171/DMS/7/5
pp. 113–144
Equivariant oriented cohomology of flag varieties
Changlong ZhongBaptiste CalmèsKirill Zainoulline
DOI 10.4171/DMS/7/6
pp. 145–194
Integral mixed motives in equal characteristic
Denis-Charles CisinskiFrédéric Déglise
DOI 10.4171/DMS/7/7
pp. 195–220
Galois descent on the second Chow group: development and applications
Jean-Louis Colliot-Thélène
DOI 10.4171/DMS/7/8
pp. 221–264
Limit Mordell-Weil groups and their $p$ -adic closure
Haruzo Hida
DOI 10.4171/DMS/7/9
pp. 265–275
Motivic equivalence and similarity of quadratic forms
Detlev W. Hoffmann
DOI 10.4171/DMS/7/10
pp. 277–334
Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber)
Bruno KahnR. Sujatha
DOI 10.4171/DMS/7/11
pp. 335–365
$K$ -theory as an Eilenberg-Mac Lane spectrum
D. Kaledin
DOI 10.4171/DMS/7/12
pp. 367–385
Minimal canonical dimensions of quadratic forms
Nikita A. Karpenko
DOI 10.4171/DMS/7/13
pp. 387–405
Triality and algebraic groups of type $^{3} D_{4}$
Max-Albert KnusJean-Pierre Tignol
DOI 10.4171/DMS/7/14
pp. 407–442
Quotients of MGL, their slices and their geometric parts
Girja Shanker TripathiM. Levine
DOI 10.4171/DMS/7/15
pp. 443–459
Essential dimension of separable algebras embedding in a fixed central simple algebra
Roland Lötscher
DOI 10.4171/DMS/7/16
pp. 461–462
Divisible abelian groups are Brauer groups
DOI 10.4171/DMS/7/17
pp. 465–486
Zero cycles on singular varieties and their desingularisations
Matthew Morrow
DOI 10.4171/DMS/7/18
pp. 487–490
Wedderburn’s theorem for regular local rings
Manuel Ojanguren
DOI 10.4171/DMS/7/19
pp. 491–500
Rationally isotropic exceptional projective homogeneous varieties are locally isotropic
V. PetrovI. Panin
DOI 10.4171/DMS/7/20
pp. 501–511
Note on the counterexamples for the integral Tate conjecture over finite fields
Alena PirutkaNobuaki Yagita
DOI 10.4171/DMS/7/21
pp. 513–528
Around the Abhyankar-Sathaye conjecture
Vladimir L. Popov
DOI 10.4171/DMS/7/22
pp. 529–576
The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group
Anne Quéguiner-MathieuJean-Pierre Tignol
DOI 10.4171/DMS/7/23
pp. 577–590
Finite $u$ invariant and bounds on cohomology symbol lengths
David J. Saltman
DOI 10.4171/DMS/7/24

Editors

Paul Balmer

Vladimir Chernousov

Skip Garibaldi

Ivan Fesenko

Eric M. Friedlander

Ulf Rehmann

Zinovy Reichstein

Contents

Preface

Secondary characteristic classes and the Euler class

Quadric surface bundles over surfaces

Hermitian lattices and bounds in $K$ -theory of algebraic integers

Stably Cayley semisimple groups.

Equivariant oriented cohomology of flag varieties

Integral mixed motives in equal characteristic

Galois descent on the second Chow group: development and applications

Limit Mordell-Weil groups and their $p$ -adic closure

Motivic equivalence and similarity of quadratic forms

Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber)

$K$ -theory as an Eilenberg-Mac Lane spectrum

Minimal canonical dimensions of quadratic forms

Triality and algebraic groups of type $^{3} D_{4}$

Quotients of MGL, their slices and their geometric parts

Essential dimension of separable algebras embedding in a fixed central simple algebra

Divisible abelian groups are Brauer groups

Zero cycles on singular varieties and their desingularisations

Wedderburn’s theorem for regular local rings

Rationally isotropic exceptional projective homogeneous varieties are locally isotropic

Note on the counterexamples for the integral Tate conjecture over finite fields

Around the Abhyankar-Sathaye conjecture

The Arason invariant of orthogonal involutions of degree 12 and 8, and quaternionic subgroups of the Brauer group

Finite $u$ invariant and bounds on cohomology symbol lengths