Dewey Class |
516.35 |
Title |
Brauer Groups and Obstruction Problems ([EBook]) : Moduli Spaces and Arithmetic / edited by Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray. |
Added Personal Name |
Auel, Asher editor. |
Hassett, Brendan editor. |
Viray, Bianca editor. |
Várilly-Alvarado, Anthony editor. |
Publication |
Cha : Birkhäuse , 2017. |
Physical Details |
IX, 247 p. : online resource. |
Series |
Progress in mathematics 0743-1643 ; ; 320 |
ISBN |
9783319468525 |
Summary Note |
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-Th??e ? Krishna Dasaratha ? Brendan Hassett ? Colin Ingalls ? Mart?Lahoz ? Emanuele Macr? 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 V?illy-Alvarado ? Bianca Viray ? Rong Zhou.: |
Contents note |
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. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
https://dx.doi.org/10.1007/978-3-319-46852-5 |
See Also |
https://dx.doi.org/10.1007/978-3-319-46852-5 |
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