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Brauer Groups and Obstruction Problems

- Moduli Spaces and Arithmetic

Bag om Brauer Groups and Obstruction Problems

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

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783319836010
  • Indbinding:
  • Paperback
  • Sideantal:
  • 247
  • Udgivet:
  • 18. juli 2018
  • Udgave:
  • 12017
  • Størrelse:
  • 155x235x0 mm.
  • Vægt:
  • 3985 g.
  • BLACK NOVEMBER
  Gratis fragt
Leveringstid: 8-11 hverdage
Forventet levering: 20. november 2024

Beskrivelse af Brauer Groups and Obstruction Problems

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

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