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Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2
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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.
Cambridge University Press; April 1996
238 pages; ISBN 9781139243674
Read online, or download in secure PDF format
238 pages; ISBN 9781139243674
Read online, or download in secure PDF format
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1139243675
9780521483704
9781139243674