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Item Details
| Title:
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TORSORS AND RATIONAL POINTS
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| By: |
Alexei N. Skorobogatov |
| Format: |
Hardback |
| List price:
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£115.00 |
| Our price: |
£100.63 |
| Discount: |
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| You save:
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£14.37 |
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| ISBN 10: |
0521802377 |
| ISBN 13: |
9780521802376 |
| Availability: |
Usually dispatched within 1-3 weeks.
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| Stock: |
Currently 0 available |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
5 July, 2001 |
| Series: |
Cambridge Tracts in Mathematics 144 |
| Pages: |
196 |
| Description: |
This book, first published in 2001, is a complete and coherent exposition of the theory and applications of torsors to rational points. |
| Synopsis: |
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, first published in 2001, is a detailed exposition of the general theory of torsors with key examples, the relation of descent to the Manin obstruction, and applications of descent: to conic bundles, to bielliptic surfaces, and to homogenous spaces of algebraic groups. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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