Brauer Groups and Obstruction Problems [electronic resource] Moduli Spaces and Arithmetic / edited by Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray.

The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the b...

Full description

Bibliographic Details
Uniform Title:Progress in Mathematics, 2296-505X ; 320
Corporate Author: SpringerLink (Online service)
Other Authors: Auel, Asher (Editor)
Hassett, Brendan (Editor)
Várilly-Alvarado, Anthony (Editor)
Viray, Bianca (Editor)
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
Edition:1st ed. 2017.
Series:Progress in Mathematics, 320
Subjects:
Algebraic geometry.
Number theory.
Online Access:
Springer Mathematics and Statistics eBooks 2017 English/International: 2017 (Springer Link)
Variant Title:
Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic
Format: Electronic eBook
Contents:
  • The Brauer group is not a derived invariant
  • Twisted derived equivalences for affine schemes
  • Rational points on twisted K3 surfaces and derived equivalences
  • Universal unramified cohomology of cubic fourfolds containing a plane
  • Universal spaces for unramified Galois cohomology
  • Rational points on K3 surfaces and derived equivalence
  • Unramified Brauer classes on cyclic covers of the projective plane
  • Arithmetically Cohen-Macaulay bundles on cubic fourfolds containing a plane
  • Brauer groups on K3 surfaces and arithmetic applications
  • On a local-global principle for H3 of function fields of surfaces over a finite field
  • Cohomology and the Brauer group of double covers.