Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
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Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 by J. W. S. Cassels
Book DescriptionThe number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. Included is an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. The Mordell-Weil group can then be determined for many curves, and in many non-trivial cases all rational points can be found. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not assumed in the main text. Number theorists, algebraic geometers and workers in related areas will find that this book offers unique insights into the arithmetic of curves of genus 2.
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Book DetailsISBN: 9780521483704
(228mm x 152mm x 14mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 18-Apr-1996
Country of Publication: United Kingdom
Books By Author J. W. S. Cassels
Rational Quadratic Forms, Paperback (October 2008)
Exploration of quadratic forms over rational numbers and rational integers offers elementary introduction. Covers quadratic forms over local fields, forms with integral coefficients, reduction theory for definite forms, more. 1968 edition.
Transcendental Aspects of Algebraic Cycles, Paperback (April 2004)
Lecture notes for graduates or researchers wishing to enter this modern field of research.
Geometric Group Theory, Paperback (August 1993)
For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.
LMSST: 24 Lectures on Elliptic Curves, Paperback (November 1991)» View all books by J. W. S. Cassels
A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.
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