Arithmetic of Higher-Dimensional Algebraic Varieties
1st Edition
Published on 14. November 2003
Book
Hardback
XVI, 287 pages
978-0-8176-3259-5 (ISBN)
Description
This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional varieties. Recently, it has become clear that ideas from many branches of mathematics can be successfully employed in the study of rational and integral points. This book will be very valuable for researchers from these various fields who have an interest in arithmetic applications, specialists in arithmetic geometry itself, and graduate students wishing to pursue research in this area.
Reviews / Votes
"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
More details
Series
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
XVI, 287 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 22 mm
Weight
629 gr
ISBN-13
978-0-8176-3259-5 (9780817632595)
DOI
10.1007/978-0-8176-8170-8
Schweitzer Classification
Other editions
Additional editions
Bjorn Poonen | Yuri Tschinkel
Arithmetic of Higher-Dimensional Algebraic Varieties
Book
11/2012
Springer-Verlag New York Inc.
€96.29
Shipment within 15-20 days
Content
Diophantine equations: progress and problems.- Rational points and analytic number theory.- Weak approximation on algebraic varieties.- Counting points on varieties using universal torsors.- The Cox ring of a Del Pezzo surface.- Counting rational points on threefolds.- Remarques sur l'approximation faible sur un corps de fonctions d'une variable.- K3 surfaces over number fields with geometric Picard number one.- Jumps in Mordell-Weil rank and Arithmetic Surjectivity.- Universal torsors and Cox rings.- Random diophantine equations.- Descent on simply connected surfaces over algebraic number fields.- Rational points on compactifications of semi-simple groups of rank 1.- Weak Approximation on Del Pezzo surfaces of degree 4.- Transcendental Brauer-Manin obstruction on a pencil of elliptic curves.