Arithmetic of Higher-dimensional Algebraic Varieties

. Ed(s): Poonen, Bjorn; Tschinkel, Yuri

ISBN 10: 081763259X / ISBN 13: 9780817632595

Published by Birkhauser Boston Inc, 2003

About this Item

Offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. This book is suitable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students. Editor(s): Poonen, Bjorn; Tschinkel, Yuri. Series: Progress in Mathematics. Num Pages: 303 pages, 5 black & white tables, biography. BIC Classification: PBF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 19. Weight in Grams: 609. . 2003. Hardback. . . . .

Seller Inventory # V9780817632595

Bibliographic Details

• Title: Arithmetic of Higher-dimensional Algebraic Varieties
• Publisher: Birkhauser Boston Inc
• Publication Date: 2003
• Language: English
• ISBN 10: 081763259X
• ISBN 13: 9780817632595
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

From the Back Cover

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.