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Torsors and Rational Points by Alexei Skorobogatov (Hardcover, 2001)

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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 that a non-abelian generalization of descent sometimes provides stronger conditions on rational points. An all-encompassing 'obstruction' is related to the X-torsors (families of principal homogenous spaces with base X) under algebraic groups. This book represents the first detailed exposition of 1) the general theory of torsors with key examples, 2) the relation of descent to the Manin obstruction, and 3) applications of descent: to conic bundles, to bielliptic surfaces, and to homogenous spaces of algebraic groups.

Product Identifiers

Publisher
Cambridge University Press
ISBN-13
9780521802376
eBay Product ID (ePID)
96242513

Product Key Features

Author
Alexei Skorobogatov
Publication Name
Torsors and RATIONAL Points
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2001
Type
Textbook
Number of Pages
196 Pages

Dimensions

Item Height
229mm
Item Width
152mm
Item Weight
460g

Additional Product Features

Title_Author
Alexei Skorobogatov
Series Title
Cambridge Tracts in Mathematics
Country/Region of Manufacture
United Kingdom

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Torsors and Rational Points by Alexei Skorobogatov (Hardcover, 2001)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

More items related to this product

item 1 Torsors and Rational Points by Alexei Skorobogatov (English) Hardcover Book

Best Selling in Adult Learning & University

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In-Basket Case Studies by Guy Adamson (Paperback, 1986)

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