Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic - Couverture rigide

Couverture rigide

ISBN 10 : 3319468510 ISBN 13 : 9783319468518

Editeur : Birkhauser Verlag AG, 2017

Synopsis

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

Détails de l'édition

• Éditeur: Birkhauser Verlag AG
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 3319468510
• ISBN 13: 9783319468518
• Reliure: Relié
• Numéro d'édition: 1
• Nombre de pages: 256
• Éditeur: Auel Asher, Hassett Brendan, Várilly-Alvarado Anthony, Viray Bianca
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne