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 …

A natural question is to determine which algebraic stacks are quotient stacks. In this paper
we give some partial answers and relate it to the question of whether, for a scheme X, the …

We use twisted sheaves and their moduli spaces to study the Brauer group of a scheme. In
particular, we (1) show how twisted methods can be efficiently used to re-prove the basic …

We relate the algebraic $ K $-theory of the ring of integers in a number field $ F $ to its étale
cohomology. We also relate it to the zeta-function of $ F $ when $ F $ is totally real and …

This volume is devoted to the Brauer group of a commutative ring and related invariants.
Part I presents a self-contained exposition of the Brauer group of a commutative ring …

We prove that torsors under parahoric group schemes on the punctured spectrum of
Fontaine's ring A inf, extend to the whole spectrum. Using descent we can extend a similar …

Derived categories of singular surfaces Page 1 © 2021 European Mathematical Society
Published by EMS Press. This work is licensed under a CC BY 4.0 licence. J. Eur. Math. Soc. 24 …

Let $ X $ be a smooth elliptic fibration over a smooth base $ B $. Under mild assumptions,
the authors establish a Fourier-Mukai equivalence between the derived categories of two …

This book introduces various notions defined in graded terms extending the notions most
frequently used as basic ingredients in the theory of Azumaya algebras: separability and …

Let p be an odd regular prime, and assume that the Lichtenbaum–Quillen conjecture holds
for K (ℤ [1∕ p]) at p. Then the p–primary homotopy type of the smooth Whitehead spectrum …