Brauer Groups and Obstruction Problems

Name: Brauer Groups and Obstruction Problems
Brand: Birkhäuser
Availability: OutOfStock
Rating: 5 (1 reviews)

By Asher Auel

0 - Default Title

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

Product details

Edition:

1

Number of Pages:

260

Release Date:

2017-03-10

Publication Date:

2017-03-10

Publisher:

Birkhäuser

Languages:

Original: English

ISBN10:

3319468510

ISBN13:

9783319468518

GPSR Manufacturer Reference:

[email protected]

Weight:

559 g

Height:

160 cm

Width:

241 cm

Thickness:

20 cm

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