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＜E-Book＞
Brauer groups, Tamagawa measures, and rational points on algebraic varieties / J�org Jahnel
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 198)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2014]
Size	1 online resource (viii, 267 pages : illustrations)
Authors	*Jahnel, J�org 1968-
Subjects	LCSH:Algebraic varieties LCSH:Geometry, Algebraic LCSH:Brauer groups LCSH:Rational points (Geometry) FREE:Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over global fields  All Subject Search FREE:Algebraic geometry -- (Co)homology theory -- Brauer groups of schemes  All Subject Search FREE:Associative rings and algebras -- Division rings and semisimple Artin rings -- Brauer groups  All Subject Search FREE:Number theory -- Explicit machine computation and programs (not the theory of computation or programming)  All Subject Search FREE:Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Global ground fields  All Subject Search FREE:Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Heights  All Subject Search
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 Appendix
Notes	Includes bibliographical references (pages 247-260) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2014 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/198 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/198 Information=Contents

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