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portada Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 Paperback (London Mathematical Society Lecture Note Series)
Type
Physical Book
Year
1996
Language
English
Pages
236
Format
Paperback
Dimensions
22.9 x 15.2 x 1.4 cm
Weight
0.35 kg.
ISBN
0521483700
ISBN13
9780521483704
Edition No.
1

Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 Paperback (London Mathematical Society Lecture Note Series)

J. W. S. Cassels (Author) · E. V. Flynn (Author) · Cambridge University Press · Paperback

Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 Paperback (London Mathematical Society Lecture Note Series) - Cassels, J. W. S. ; Flynn, E. V.

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Synopsis "Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 Paperback (London Mathematical Society Lecture Note Series)"

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. The authors include an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. Mathematicians can then determine the Mordell-Weil group for many curves, and in many nontrivial cases they can find all rational points. 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.

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