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000780047 019__ $$a974746916$$a981978617$$a982018269$$a985336498
000780047 020__ $$a9783319468525$$q(electronic book)
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000780047 0247_ $$a10.1007/978-3-319-46852-5$$2doi
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000780047 24500 $$aBrauer groups and obstruction problems :$$bModuli spaces and arithmetic /$$cAsher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray, editors.
000780047 264_1 $$aCham, Switzerland :$$bBirkhäuser,$$c2017.
000780047 300__ $$a1 online resource (ix, 247 pages).
000780047 336__ $$atext$$btxt$$2rdacontent
000780047 337__ $$acomputer$$bc$$2rdamedia
000780047 338__ $$aonline resource$$bcr$$2rdacarrier
000780047 4901_ $$aProgress in mathematics,$$x0743-1643 ;$$vvolume 320
000780047 504__ $$aIncludes bibliographical references.
000780047 5050_ $$aThe Brauer group is not a derived invariant -- Twisted derived equivalences for affine schemes -- Rational points on twisted K3 surfaces and derived equivalences -- Universal unramified cohomology of cubic fourfolds containing a plane -- Universal spaces for unramified Galois cohomology -- Rational points on K3 surfaces and derived equivalence -- Unramified Brauer classes on cyclic covers of the projective plane -- Arithmetically Cohen-Macaulay bundles on cubic fourfolds containing a plane -- Brauer groups on K3 surfaces and arithmetic applications -- On a local-global principle for H3 of function fields of surfaces over a finite field -- Cohomology and the Brauer group of double covers.
000780047 506__ $$aAccess limited to authorized users.
000780047 520__ $$aThe contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory. Contributors: · Nicolas Addington · Benjamin Antieau · Kenneth Ascher · Asher Auel · Fedor Bogomolov · Jean-Louis Colliot-Thélène · Krishna Dasaratha · Brendan Hassett · Colin Ingalls · Martí Lahoz · Emanuele Macrì · Kelly McKinnie · Andrew Obus · Ekin Ozman · Raman Parimala · Alexander Perry · Alena Pirutka · Justin Sawon · Alexei N. Skorobogatov · Paolo Stellari · Sho Tanimoto · Hugh Thomas · Yuri Tschinkel · Anthony Várilly-Alvarado · Bianca Viray · Rong Zhou.
000780047 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 9, 2017).
000780047 650_0 $$aBrauer groups.
000780047 650_0 $$aModuli theory.
000780047 7001_ $$aAuel, Asher,$$eeditor.
000780047 7001_ $$aHassett, Brendan,$$eeditor.
000780047 7001_ $$aVárilly-Alvarado, Anthony,$$eeditor.
000780047 7001_ $$aViray, Bianca,$$eeditor.
000780047 77608 $$iPrint version:$$z3319468510$$z9783319468518$$w(OCoLC)957533204
000780047 830_0 $$aProgress in mathematics (Boston, Mass.) ;$$vv. 320.
000780047 852__ $$bebk
000780047 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-46852-5$$zOnline Access$$91397441.1
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