This book is devoted to the study of rational and integral points
on higher- dimensional algebraic varieties. It contains research
papers addressing the arithmetic geometry of varieties which are
not of general type, with an em- phasis on how rational points are
distributed with respect to the classical, Zariski and adelic
topologies. The book gives a glimpse of the state of the art of
this rapidly expanding domain in arithmetic geometry. The
techniques involve explicit geometric con- structions, ideas from
the minimal model program in algebraic geometry as well as analytic
number theory and harmonic analysis on adelic groups. In recent
years there has been substantial progress in our understanding of
the arithmetic of algebraic surfaces. Five papers are devoted to
cubic surfaces: Basile and Fisher study the existence of rational
points on certain diagonal cubics, Swinnerton-Dyer considers weak
approximation and Broberg proves upper bounds on the number of
rational points on the complement to lines on cubic surfaces. Peyre
and Tschinkel compare numerical data with conjectures concerning
asymptotics of rational points of bounded height on diagonal cubics
of rank ~ 2. Kanevsky and Manin investigate the composition of
points on cubic surfaces. Satge constructs rational curves on
certain Kummer surfaces. Colliot-Thelene studies the Hasse
principle for pencils of curves of genus 1. In an appendix to this
paper Skorobogatov produces explicit examples of Enriques surfaces
with a Zariski dense set of rational points.
General
| Imprint: |
Springer Basel
|
| Country of origin: |
Switzerland |
| Series: |
Progress in Mathematics, 199 |
| Release date: |
October 2012 |
| First published: |
2001 |
| Editors: |
Emmanuel Peyre
• Yuri Tschinkel
|
| Dimensions: |
235 x 155 x 24mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
446 |
| Edition: |
Softcover reprint of the original 1st ed. 2001 |
| ISBN-13: |
978-3-03-489536-1 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
| LSN: |
3-03-489536-4 |
| Barcode: |
9783034895361 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
