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Quantitative Arithmetic of Projective Varieties (Progress in Mathematics)

Posted on 2010-03-16




Name:Quantitative Arithmetic of Projective Varieties (Progress in Mathematics)
ASIN/ISBN:303460128X
Language:English
File size:1.7 Mb
Publish Date: 2009
ISBN: 303460128X
Pages: 172 pages
File Type: PDF
File Size: 1,7 MB
Other Info: Birkhäuser Basel
   Quantitative Arithmetic of Projective Varieties (Progress in Mathematics)

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Timothy D. Browning, ""

This monograph is concerned with counting rational points of bounded height on projective algebraic varieties. This is a relatively young topic, whose exploration has already uncovered a rich seam of mathematics situated at the interface of analytic number theory and Diophantine geometry. The goal of the book is to give a systematic account of the field with an emphasis on the role played by analytic number theory in its development. Among the themes discussed in detail are

* the Manin conjecture for del Pezzo surfaces;

* Heath-Brown's dimension growth conjecture; and

* the Hardy-Littlewood circle method.

Readers of this monograph will be rapidly brought into contact with a spectrum of problems and conjectures that are central to this fertile subject area.

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