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Progress in Mathematics

Arithmetic of Higher-Dimensional Algebraic Varieties

Editors: Poonen, Bjorn, Tschinkel, Yuri (Eds.)

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eBook 89,99 €
price for Spain (gross)
  • ISBN 978-0-8176-8170-8
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Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-0-8176-3259-5
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  • Usually dispatched within 3 to 5 business days.
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Softcover 114,39 €
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  • ISBN 978-1-4612-6471-2
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  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory.

 

This text, which focuses on higher-dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry.

 

Contributors: Batyrev, V.V.; Broberg, N.; Colliot-Thélène, J-L.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; Heath-Brown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; Swinnerton-Dyer, P.; Takloo-Bighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O.

Reviews

"These articles which are written by leading experts make interesting reading and also give the non expert reader an idea of the subject.  In addition there is an extensive index covering the entire volume and a glossary of important notions.  In particular readers who are not specialists in the field may find this very helpful."

---Monatshefte für Mathematik


Table of contents (15 chapters)

  • Diophantine Equations: Progress And Problems

    Swinnerton-Dyer, Peter

    Pages 3-35

    Preview Buy Chapter 30,19 €
  • Rational Points and Analytic Number Theory

    Heath-Brown, Roger

    Pages 37-42

    Preview Buy Chapter 30,19 €
  • Weak Approximation on Algebraic Varieties

    Harari, David

    Pages 43-60

    Preview Buy Chapter 30,19 €
  • Counting Points On Varieties Using Universal Torsors

    Peyre, Emmanuel

    Pages 61-81

    Preview Buy Chapter 30,19 €
  • The Cox Ring of a Del Pezzo Surface

    Batyrev, Victor V. (et al.)

    Pages 85-103

    Preview Buy Chapter 30,19 €

Buy this book

eBook 89,99 €
price for Spain (gross)
  • ISBN 978-0-8176-8170-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-0-8176-3259-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-1-4612-6471-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic of Higher-Dimensional Algebraic Varieties
Editors
  • Bjorn Poonen
  • Yuri Tschinkel
Series Title
Progress in Mathematics
Series Volume
226
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8170-8
DOI
10.1007/978-0-8176-8170-8
Hardcover ISBN
978-0-8176-3259-5
Softcover ISBN
978-1-4612-6471-2
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XVI, 287
Topics