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.
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Sir Peter Swinnerton-Dyer's mathematical career encompasses more than 60 years' work of amazing creativity. This volume provides contemporary insight into several subjects in which Sir Peter's influence has been notable, and is dedicated to his 75th birthday. The opening section reviews some of his many remarkable contributions to mathematics and other fields. The remaining contributions come from leading researchers in analytic and arithmetic number theory, and algebraic geometry. The 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.
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Inside This Book
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First Sentence:
This is a volume of papers in honour of Peter Swinnerton-Dyer's 75th birthday; we very much regret that it appears a few months late owing to the usual kind of publications delays. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
universal torsor, index coprime, effective diophantine approximation, fixed prime factor, anticanonical ring, diagonal cubic surfaces, bielliptic surfaces, modular symbols, wild split, congruence primes, corps des fonctions, abelian surfaces, functorial map, boundary divisors, descent varieties, principal homogeneous space, functoriality properties, rational varieties, weak approximation, torsion points, rational surfaces, algebraic cycles, quotient singularity, variable dans, only obstruction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Peter Swinnerton-Dyer, London Math, Miles Reid, Cambridge Phil, Department of Mathematics, New York, Alexei Skorobogatov, Proposition Let, Theorem Let, Vice Chancellor, Academic Press, Cambridge University Press, Duke Math, Acta Arith, Lecture Notes, Proof Let, Pure Math, Acta Math, Andrew Bremner, Imperial College London, Pavlos Tzermias, Cambridge Tracts, Introduction Let, Per Salberger, Proof According New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
This is a volume of papers in honour of Peter Swinnerton-Dyer's 75th birthday; we very much regret that it appears a few months late owing to the usual kind of publications delays. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
universal torsor, index coprime, effective diophantine approximation, fixed prime factor, anticanonical ring, diagonal cubic surfaces, bielliptic surfaces, modular symbols, wild split, congruence primes, corps des fonctions, abelian surfaces, functorial map, boundary divisors, descent varieties, principal homogeneous space, functoriality properties, rational varieties, weak approximation, torsion points, rational surfaces, algebraic cycles, quotient singularity, variable dans, only obstruction Key Phrases - Capitalized Phrases (CAPs): (learn more)
Peter Swinnerton-Dyer, London Math, Miles Reid, Cambridge Phil, Department of Mathematics, New York, Alexei Skorobogatov, Proposition Let, Theorem Let, Vice Chancellor, Academic Press, Cambridge University Press, Duke Math, Acta Arith, Lecture Notes, Proof Let, Pure Math, Acta Math, Andrew Bremner, Imperial College London, Pavlos Tzermias, Cambridge Tracts, Introduction Let, Per Salberger, Proof According New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 5
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9
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- Number Theory: An approach through history from Hammurapi to Legendre by André Weil on page 25, and page 30
- Number Theory by Helmut Hasse on page 39
- Pure Mathematics 3 & 4 (Advanced Modular Mathematics) (v. 3 & 4) by Graham Smithers on page 118
- New Trends in Algebraic Geometry (London Mathematical Society Lecture Note Series) by K. Hulek in Front Matter
- Algebraic Geometry (Graduate Texts in Mathematics) by Robin Hartshorne on page 277
- Heights in Diophantine Geometry (New Mathematical Monographs) by Enrico Bombieri in Back Matter
- Lectures on the Ricci Flow (London Mathematical Society Lecture Note Series) by Peter Topping in Front Matter
- Groups St Andrews 2005: Volume 1 (London Mathematical Society Lecture Note Series) by C. M. Campbell in Front Matter
- Integral Closure of Ideals, Rings, and Modules (London Mathematical Society Lecture Note Series) by Irena Swanson in Front Matter
- Synthetic Differential Geometry (London Mathematical Society Lecture Note Series) by Anders Kock in Front Matter
See all 9 books citing this book
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