Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Amazon cover image
Image from Amazon.com

Brauer groups, tamagawa measures, and rational points on algebraic varieties / Jorg Jahnel.

By: Material type: TextTextSeries: Mathematical surveys and monographs ; v 198Publication details: Providence : American Mathematical Society, c2014.Description: viii, 267 p. : illustrations ; 27 cmISBN:
  • 9781470418823 (alk. paper)
Subject(s): DDC classification:
  • 510MS 23 Am512
Contents:
Introduction-- Part A. Heights-- I. The concept of a height-- II. Conjectures on the asymptotics of points of bounded height-- Part B. The Brauer group-- III. On the Brauer group of a scheme-- IV. An application: The Brauer-Manin obstruction-- Part C. Numerical experiments V. The Diophantine equation x4+2y4=z4+4w4-- VI. Points of bounded height on cubic and quartic threefolds-- VII. On the smallest point on a diagonal cubic surface-- Appendix-- Bibliography-- Index.
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 presents the state of the art in computational arithmetic geometry for higher-dimensional algebraic varieties.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510MS Am512 (Browse shelf(Opens below)) Available 135871
Total holds: 0

Includes bibliographical references and index.

Introduction--
Part A. Heights--
I. The concept of a height--
II. Conjectures on the asymptotics of points of bounded height--

Part B. The Brauer group--
III. On the Brauer group of a scheme--
IV. An application: The Brauer-Manin obstruction--

Part C. Numerical experiments
V. The Diophantine equation x4+2y4=z4+4w4--
VI. Points of bounded height on cubic and quartic threefolds--
VII. On the smallest point on a diagonal cubic surface--
Appendix--
Bibliography--
Index.

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 presents the state of the art in computational arithmetic geometry for higher-dimensional algebraic varieties.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in