Brauer Groups and Obstruction Problems : Moduli Spaces and Arithmetic / / edited by Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray

• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017
• Edizione: 1st ed. 2017.
• Descrizione fisica: 1 online resource (IX, 247 p.)
• Disciplina: 512.2
• Soggetto topico: Geometry, Algebraic; Number theory; Algebraic Geometry; Number Theory
• Persona (resp. second.): AuelAsher; HassettBrendan; Várilly-AlvaradoAnthony; VirayBianca
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Brauer Groups and Obstruction Problems
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910254288603321
• Lo trovi qui: Univ. Federico II
• Serie: Progress in Mathematics, . 2296-505X ; ; 320