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Titlebook: Brauer Groups and Obstruction Problems; Moduli Spaces and Ar Asher Auel,Brendan Hassett,Bianca Viray Book 2017 Springer International Publi

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期刊全称Brauer Groups and Obstruction Problems
期刊简称Moduli Spaces and Ar
影响因子2023Asher Auel,Brendan Hassett,Bianca Viray
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发行地址Offers a unique synthesis of techniques: tools from complex algebraic geometry are applied to fundamental questions in number theory and Diophantine geometry.Investigates the connection between derive
学科分类Progress in Mathematics
图书封面Titlebook: Brauer Groups and Obstruction Problems; Moduli Spaces and Ar Asher Auel,Brendan Hassett,Bianca Viray Book 2017 Springer International Publi
影响因子.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.
Pindex Book 2017
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Thermomechanics of Ferromagnetic Bodies,rk of van Geemen. These groups correspond to sublattices of index . of the transcendental lattice .. of .; we classify these lattices up to isomorphism using Nikulin’s discriminant form technique. We then study geometric realizations of .-torsion Brauer elements as Brauer-Severi varieties in a few c
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Asher Auel,Brendan Hassett,Bianca VirayOffers a unique synthesis of techniques: tools from complex algebraic geometry are applied to fundamental questions in number theory and Diophantine geometry.Investigates the connection between derive
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M. Fuller,W. S. Goree,W. L. GoodmanUsing a construction of Hassett and Vèrilly-Alvarado, we produce derived equivalent twisted K3 surfaces over .., and ., where one has a rational point and the other does not. This answers negatively a question recently raised by Hassett and Tschinkel.
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