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Brauer groups, Tamagawa measures, and rational points on algebraic varieties

Author: Jörg Jahnel
Publisher: Providence, Rhode Island : American Mathematical Society, [2014] ©2014
Series: Mathematical surveys and monographs, v. 198.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The central theme of this book is the study of rational points on algebraic varieties of Fano and intermediate type--both in terms of when such points exist and, if they do, their quantitative density. The book consists of three parts. In the first part, the author discusses the concept of a height and formulates Manin's conjecture on the asymptotics of rational points on Fano varieties. The second part introduces  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Jahnel, Jörg
Brauer groups, Tamagawa measures, and rational points on algebraic varieties.
Providence : American Mathematical Society, [2014]
(OCoLC)881592453
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jörg Jahnel
ISBN: 9781470419622 1470419629
OCLC Number: 907357746
Description: 1 online resource.
Contents: 1. Introduction Chapter I. The concept of a height Chapter II. Conjectures on the asymptotics of points of bounded height Chapter III. On the Brauer group of a scheme Chapter IV. An application: The Brauer-Manin obstruction Chapter V. The Diophantine equation $x^4 + 2 y^4 = z^4 + 4 w^4$ Chapter VI. Points of bounded height on cubic and quartic threefolds Chapter VII. On the smallest point on a diagonal cubic surface 9. Appendix
Series Title: Mathematical surveys and monographs, v. 198.
Responsibility: Jörg Jahnel.

Abstract:

The central theme of this book is the study of rational points on algebraic varieties of Fano and intermediate type - both in terms of when such points exist and, if they do, their quantitative  Read more...

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