TY  - BOOK
AU  - Auel,Asher
AU  - Hassett,Brendan
AU  - Várilly-Alvarado,Anthony
AU  - Viray,Bianca
ED  - SpringerLink (Online service)
TI  - Brauer Groups and Obstruction Problems : Moduli Spaces and Arithmetic 
T2  - Progress in Mathematics,
SN  - 9783319468525
AV  - QA564-609 
U1  - 516.35 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Birkhäuser
KW  - Algebraic geometry
KW  - Number theory
KW  - Algebraic Geometry
KW  - Number Theory
N1  - 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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 book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory. Contributors: · Nicolas Addington · Benjamin Antieau · Kenneth Ascher · Asher Auel · Fedor Bogomolov · Jean-Louis Colliot-Thélène · Krishna Dasaratha · Brendan Hassett · Colin Ingalls · Martí Lahoz · Emanuele Macrì · Kelly McKinnie · Andrew Obus · Ekin Ozman · Raman Parimala · Alexander Perry · Alena Pirutka · Justin Sawon · Alexei N. Skorobogatov · Paolo Stellari · Sho Tanimoto · Hugh Thomas · Yuri Tschinkel · Anthony Várilly-Alvarado · Bianca Viray · Rong Zhou
UR  - https://doi.org/10.1007/978-3-319-46852-5
ER  -