Téléchargez le livre : Brauer Groups and Obstruction Problems

Brauer Groups and Obstruction Problems

Moduli Spaces and Arithmetic de

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Éditeur :

Birkhäuser


Collection :

Progress in Mathematics

Paru le : 2017-03-02

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Description

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
Pages
247 pages
Collection
Progress in Mathematics
Parution
2017-03-02
Marque
Birkhäuser
EAN papier
9783319468518
EAN PDF
9783319468525
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
24
Taille du fichier
3707 Ko
Prix
147,69 €

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