Brauer groups and obstruction problems : Moduli spaces and arithmetic / Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray, editors.
Auel, Asher, editor.; Hassett, Brendan, editor.; Várilly-Alvarado, Anthony, editor.; Viray, Bianca, editor.
2017
QA251.3
Available Online

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Title
Brauer groups and obstruction problems : Moduli spaces and arithmetic / Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray, editors.
ISBN
9783319468525 (electronic book)
3319468529 (electronic book)
9783319468518
3319468510
DOI
https://doi.org/10.1007/978-3-319-46852-5
Published
Cham, Switzerland : Birkhäuser, 2017.
Language
English
Description
1 online resource (ix, 247 pages).
Item Number
10.1007/978-3-319-46852-5 doi
Call Number
QA251.3
Dewey Decimal Classification
512/.46
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 9, 2017).
Added Author
Auel, Asher, editor.
Hassett, Brendan, editor.
Várilly-Alvarado, Anthony, editor.
Viray, Bianca, editor.
Series
Progress in mathematics (Boston, Mass.) ; v. 320.
Available in Other Form
Print version: 9783319468518
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Record Appears in
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All Resources
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.

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