Quantitative Arithmetic of Projective Varieties

Language: English

Published by Springer, Basel, Birkhäuser Basel, Birkhäuser Sep 2009, 2009

303460128X / 9783034601283

Series: Book 91 of 170 - Progress in Mathematics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -OverthemillenniaDiophantineequationshavesuppliedanextremelyfertilesource ofproblems. Their study hasilluminated everincreasingpoints ofcontactbetween very di erent subject areas, including algebraic geometry, mathematical logic, - godictheoryandanalyticnumber theory. Thefocus ofthis bookisonthe interface of algebraic geometry with analytic number theory, with the basic aim being to highlight the ro le that analytic number theory has to play in the study of D- phantine equations. Broadly speaking, analytic number theory can be characterised as a subject concerned with counting interesting objects. Thus, in the setting of Diophantine geometry, analytic number theory is especially suited to questions concerning the distribution of integral and rational points on algebraic varieties. Determining the arithmetic of a ne varieties, both qualitatively and quantitatively, is much more complicated than for projective varieties. Given the breadth of the domain and the inherent di culties involved, this book is therefore dedicated to an exp- ration of the projective setting. This book is based on a short graduate course given by the author at the I. C. T. P School and Conference on Analytic Number Theory, during the period 23rd April to 11th May, 2007. It is a pleasure to thank Professors Balasubra- nian, Deshouillers and Kowalski for organising this meeting. Thanks are also due to Michael Harvey and Daniel Loughran for spotting several typographical errors in an earlier draft of this book. Over the years, the author has greatly bene ted fromdiscussing mathematicswithProfessorsde la Bret` eche,Colliot-Th el` ene,F- vry, Hooley, Salberger, Swinnerton-Dyer and Wooley. 160 pp. Englisch.

Seller Inventory # 9783034601283

Title
Quantitative Arithmetic of Projective Varieties
Author
Timothy D. Browning
Publisher
Springer, Basel, Birkhäuser Basel, Birkhäuser Sep 2009
Publication year
2009
Condition
Neu
Binding
Buch
Language
English
ISBN 10
303460128X
ISBN 13
9783034601283
Item weight
444 grams
Dimensions
235x155x35 mm
Series
Book 91 of 170: Progress in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

Germany