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Arithmetic of Higher-Dimensional Algebraic Varieties on Hardback
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Arithmetic of Higher-Dimensional Algebraic Varieties

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Description

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 etale 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.
Release date Australia
November 14th, 2003
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Contributors
  • Edited by Bjorn Poonen
  • Edited by Yuri Tschinkel
Illustrations
XVI, 287 p.
Pages
287
Dimensions
156x234x19
ISBN-13
9780817632595
Product ID
2805913

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