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MARC 21

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic
Tag	Description
020	$a9783319468525
082	$a516.35
099	$aOnline resource: Birkhäuser
245	$aBrauer Groups and Obstruction Problems$h[EBook]$bModuli Spaces and Arithmetic$cedited by Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray.
260	$aCham$bBirkhäuser$c2017.
300	$aIX, 247 p.$bonline resource.
336	$atext
338	$aonline resource
440	$aProgress in Mathematics,$x0743-1643 ;$v320
505	$aThe 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.
520	$aThe 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700	$aAuel, Asher$eeditor.
700	$aHassett, Brendan$eeditor.
700	$aViray, Bianca$eeditor.
700	$aVárilly-Alvarado, Anthony$eeditor.
710	$ SpringerLink (Online service)
856	$uhttps://dx.doi.org/10.1007/978-3-319-46852-5