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Torsors and rational points

✍ Scribed by Alexei Skorobogatov


Book ID
127417940
Publisher
Cambridge University Press
Year
2001
Tongue
English
Weight
2 MB
Series
Cambridge tracts in mathematics 144
Category
Library
City
Cambridge; New York
ISBN-13
9780521802376

No coin nor oath required. For personal study only.

✦ Synopsis


The subject of this book is arithmetic algebraic geometry, an area between number theory and algebraic geometry. It is about applying geometric methods to the study of polynomial equations in rational numbers (Diophantine equations). This book represents the first complete and coherent exposition in a single volume, of both the theory and applications of torsors to rational points. Some very recent material is included. It is demonstrated that torsors provide a unified approach to several branches of the theory which were hitherto developing in parallel.


πŸ“œ SIMILAR VOLUMES


A non-split torsor with trivial fixed po
✍ Z. Reichstein; B. Youssin πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 82 KB

Let G be a linear algebraic group and X be an irreducible algebraic variety with a generically free G-action, all defined over an algebraically closed base field of characteristic zero. It is well known that X can be viewed as a G-torsor, representing a class [X] in H 1 (K, G), where K is the field

Diagrams and torsors
✍ J. F. Jardine πŸ“‚ Article πŸ“… 2006 πŸ› Springer 🌐 English βš– 239 KB
Torsors and Stacks
✍ John Frederick Jardine πŸ“‚ Article πŸ“… 2006 πŸ› SP BirkhΓ€user Verlag Basel 🌐 English βš– 159 KB
Motivic torsors
✍ Yuval Z. Flicker πŸ“‚ Article πŸ“… 2001 πŸ› The Hebrew University Magnes Press 🌐 English βš– 894 KB
Quantum torsors
✍ C. Grunspan πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 294 KB