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Catalogue Information
Field name	Details
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
Links to Related Works	Subject References: Arithmetic . Authors: Auel, Asher . Hassett, Brendan . Várilly-Alvarado, Anthony . Viray, Bianca . Series: Progress in mathematics . Classification: 516.35 . 516.35 (DDC 23) .

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Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic

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