Torsors and Rational Points

by Alexei Skorobogatov

The classical descent on curves of genus one can be interpreted as providing conditions on the set of rational points of an algebraic variety X defined over a number field, viewed as a subset of its adelic points. This is the natural set-up of the Hasse principle and various approximation properties of rational points. The most famous among such conditions is the Manin obstruction exploiting the Brauer-Grothendieck group of X. It emerged recently...

• Format: Hardcover
• Language: English
• ISBN: 0521802377
• ISBN13: 9780521802376
• Release Date: July 2001
• Publisher: Cambridge University Press
• Length: 196 Pages
• Weight: 0.90 lbs.
• Dimensions: 0.6" x 6.1" x 9.0"