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The 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.

Buy Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 book by J. W. S. Cassels from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780521483704
ISBN-10: 0521483700
Format: Paperback
(228mm x 152mm x 14mm)
Pages: 236
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 18-Apr-1996
Country of Publication: United Kingdom

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