Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Page 1 The Brauer– Grothendieck Group
Jean-Louis Colliot-Thélène Alexei N. Skorobogatov Ergebnisse der Mathematik und ihrer …

The third edition differs from the previous two in some fairly minor corrections and a number
of additions. Both of these are based on remarks and advice from readers of the earlier …

These notes concern aspects of various graphs whose vertex set is a group $ G $ and
whose edges reflect group structure in some way (so that they are invariant under the action …

Shafarevich's Basic Algebraic Geometry has been a classic and universally used
introduction to the subject since its first appearance over 40 years ago. As the translator …

For any linear algebraic group G, we define a ring CH* BG, the ring of char-acteristic classes
with values in the Chow ring (that is, the ring of algebraic cycles modulo rational …

Equivariant cohomology has become an indispensable tool in algebraic geometry and in
related areas including representation theory, combinatorial and enumerative geometry, and …

0.1. Examples of the h-principle.(a) If either X or Y is contractible (eg, X= Cn or Y= Cn), then
the h-principle is trivially satisfied as every continuous map X-* Y is homotopic to a constant …

Multiplicative invariant theory, as a research area in its own right within the wider spectrum
of invariant theory, is of relatively recent vintage. The present text offers a coherent account …

Gromov ellipticity is often considered to be a chapter of complex analysis. However, in his
foundational paper [42] Gromov also presented and studied an algebraic counterpart of this …

The Bogomolov multiplier is a group theoretical invariant isomorphic to the unramified
Brauer group of a given quotient space. We derive a homological version of the Bogomolov …