{"product_id":"brauer-groups-and-obstruction-problems-moduli-spaces-and-arithmetic-9783319468518","title":"Brauer Groups and Obstruction Problems: Moduli","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003eContributors:\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e· Nicolas Addington\u003c\/p\u003e  · Benjamin Antieau\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e· Kenneth Ascher \u003c\/p\u003e· Asher Auel\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e· Fedor Bogomolov\u003c\/p\u003e  \u003cp\u003e· Jean-Louis Colliot-Thélène\u003c\/p\u003e  \u003cp\u003e· Krishna Dasaratha\u003c\/p\u003e  \u003cp\u003e· Brendan Hassett\u003c\/p\u003e  \u003cp\u003e· Colin Ingalls\u003c\/p\u003e  · Martí Lahoz\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e· Emanuele Macrì\u003c\/p\u003e  \u003cp\u003e· Kelly McKinnie\u003c\/p\u003e  \u003cp\u003e· Andrew Obus\u003c\/p\u003e  \u003cp\u003e· Ekin Ozman\u003c\/p\u003e  \u003cp\u003e· Raman Parimala\u003c\/p\u003e  \u003cp\u003e· Alexander Perry\u003c\/p\u003e  \u003cp\u003e· Alena Pirutka\u003c\/p\u003e  \u003cp\u003e· Justin Sawon\u003c\/p\u003e  \u003cp\u003e· Alexei N. Skorobogatov\u003c\/p\u003e  \u003cp\u003e· Paolo Stellari\u003c\/p\u003e  · Sho Tanimoto\u003cp\u003e\u003c\/p\u003e  \u003cp\u003e· Hugh Thomas\u003c\/p\u003e  \u003cp\u003e· Yuri Tschinkel\u003c\/p\u003e  \u003cp\u003e· Anthony Várilly-Alvarado\u003c\/p\u003e  \u003cp\u003e· Bianca Viray\u003c\/p\u003e  \u003cp\u003e· Rong Zhou\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe 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 \u003ci\u003eH\u003c\/i\u003e\u003csup\u003e3\u003c\/sup\u003e of function fields of surfaces over a finite field.- Cohomology and the Brauer group of double covers.\u003c\/p\u003e","brand":"Birkhauser Verlag AG","offers":[{"title":"Default Title","offer_id":50470736200023,"sku":"9783319468518","price":95.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9783319468518.jpg?v=1744899301","url":"https:\/\/bookcurl.com\/products\/brauer-groups-and-obstruction-problems-moduli-spaces-and-arithmetic-9783319468518","provider":"Book Curl","version":"1.0","type":"link"}