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Number Theory and Algebraic Geometry London Mathematical Society Lecture Note Series Series Number 303 1st Edition by Miles Reid, Alexei Skorobogatov ISBN 0521545188 9780521545181

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Number Theory and Algebraic Geometry London Mathematical Society Lecture Note Series Series Number 303 1st Edition Miles Reid (Editor) Digital Instant Download

Author(s): Miles Reid (editor), Alexei Skorobogatov (editor)
ISBN(s): 9780521545181, 0521545188
Edition: 1
File Details: PDF, 3.08 MB
Year: 2004
Language: english
SKU: EB-51992472 Category: Tags: ,

Number Theory and Algebraic Geometry London Mathematical Society Lecture Note Series Series Number 303 1st Edition by Miles Reid, Alexei Skorobogatov – Ebook PDF Instant Download/Delivery: 0521545188, 9780521545181

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Product details:

ISBN 10: 0521545188

ISBN 13: 9780521545181 

Author: Miles Reid, Alexei Skorobogatov 

Peter Swinnerton-Dyer’s mathematical career encompasses more than 60 years’ work of amazing creativity. This volume, dedicated to him on the occasion of his 75th birthday, provides contemporary insight into several subjects in which his influence has been notable. The contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. Topics treated include rational points on algebraic varieties, the Hasse principle, Shafarevich-Tate groups of elliptic curves and motives, Zagier’s conjectures, descent and zero-cycles, Diophantine approximation, and Abelian and Fano varieties.

Table of contents:

  1. In Lieu of Birthday Greetings

  2. Peter Swinnerton-Dyer’s Mathematical Papers to Date

  3. On the Hasse Principle for Bielliptic Surfaces

  4. Effective Diophantine Approximation on 𝐺ₘ

  5. A Diophantine System

  6. Valeurs d’un Polynôme à une Variable Représentées par une Norme

  7. Constructing Elements in Shafarevich–Tate Groups of Modular Motives

  8. A Counterexample to a Conjecture of Selmer

  9. Linear Relations Amongst Sums of Two Squares

  10. Kronecker Double Series and the Dilogarithm

  11. On Shafarevich–Tate Groups and the Arithmetic of Fermat Curves

  12. Cascades of Projections from Log del Pezzo Surfaces

  13. On Obstructions to the Hasse Principle

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Tags: Miles Reid, Alexei Skorobogatov, Number Theory, Algebraic Geometry, London Mathematical Society, Lecture Note Series, Number 303