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

Paul Balmer; Vladimir Chernousov; Skip Garibaldi; Ivan Fesenko; Eric M. Friedlander; Ulf Rehmann; Zinovy Reichstein

doi:10.4171/dms/7

pp. iii–iv
Contents
pp. 1–4
Preface
I. FesenkoP. BalmerV. ChernousovE. FriedlanderS. GaribaldiZ. Reichstein
pp. 7–29
Secondary characteristic classes and the Euler class
Aravind AsokJean Fasel
pp. 31–70
Quadric surface bundles over surfaces
Asher AuelR. ParimalaV. Suresh
pp. 71–83
Hermitian lattices and bounds in $K$ -theory of algebraic integers
Eva Bayer-FluckigerVincent EmeryJulien Houriet
pp. 85–112
Stably Cayley semisimple groups.
Mikhail BorovoiBoris Kunyavskii
pp. 113–144
Equivariant oriented cohomology of flag varieties
Baptiste CalmèsKirill ZainoullineChanglong Zhong
pp. 145–194
Integral mixed motives in equal characteristic
Denis-Charles CisinskiFrédéric Déglise
pp. 195–220
Galois descent on the second Chow group: development and applications
Jean-Louis Colliot-Thélène
pp. 221–264
Limit Mordell-Weil groups and their $p$ -adic closure
Haruzo Hida
pp. 265–275
Motivic equivalence and similarity of quadratic forms
Detlev W. Hoffmann
pp. 277–334
Birational geometry and localisation of categories (with appendices by Jean-Louis Colliot-Thélène and Ofer Gabber)
Bruno KahnR. Sujatha
pp. 335–365
$K$ -theory as an Eilenberg-Mac Lane spectrum
D. Kaledin
pp. 367–385
Minimal canonical dimensions of quadratic forms
Nikita A. Karpenko
pp. 387–405
Triality and algebraic groups of type $^{3} D_{4}$
Max-Albert KnusJean-Pierre Tignol
pp. 407–442
Quotients of MGL, their slices and their geometric parts
Marc LevineGirja Shanker Tripathi
pp. 443–459
Essential dimension of separable algebras embedding in a fixed central simple algebra
Roland Lötscher
pp. 461–462
Divisible abelian groups are Brauer groups
pp. 465–486
Zero cycles on singular varieties and their desingularisations
Matthew Morrow
pp. 487–490
Wedderburn’s theorem for regular local rings
Manuel Ojanguren
pp. 491–500
Rationally isotropic exceptional projective homogeneous varieties are locally isotropic
I. PaninV. Petrov
pp. 501–511
Note on the counterexamples for the integral Tate conjecture over finite fields
Alena PirutkaNobuaki Yagita
pp. 513–528
Around the Abhyankar-Sathaye conjecture
Vladimir L. Popov
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
pp. 577–590
Finite $u$ invariant and bounds on cohomology symbol lengths
David J. Saltman