Brauer Groups and Obstruction Problems Moduli Spaces and Arithmetic /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Auel, Asher (Editor), Hassett, Brendan (Editor), Várilly-Alvarado, Anthony (Editor), Viray, Bianca (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Series: Progress in Mathematics, 320
• Subjects: Mathematics.; Algebraic geometry.; Number theory.; Algebraic Geometry.; Number Theory.

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...

Table of 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.