Overview
- Contributors are all leading speciatlists in this importand and expanding field
- Tschinkel has history with Birkh?ser Basel
Part of the book series: Progress in Mathematics (PM, volume 226)
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Table of contents (15 chapters)
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Front Matter
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Research Articles
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Front Matter
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Back Matter
Keywords
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.
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
Editors and Affiliations
Bibliographic Information
Book Title: Arithmetic of Higher-Dimensional Algebraic Varieties
Editors: Bjorn Poonen, Yuri Tschinkel
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-0-8176-8170-8
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2004
Hardcover ISBN: 978-0-8176-3259-5Published: 14 November 2003
Softcover ISBN: 978-1-4612-6471-2Published: 21 November 2012
eBook ISBN: 978-0-8176-8170-8Published: 06 December 2012
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XVI, 287
Topics: Number Theory, Algebraic Geometry, Field Theory and Polynomials, Several Complex Variables and Analytic Spaces