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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2

Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2

Cassels, J. W. S.
Flynn, E. V.
Cassels, J. W. S.

Paperback

Series: London Mathematical Society Lecture Note, Book 230

General MathematicsGeometry

ISBN10: 0521483700
ISBN13: 9780521483704
Publisher: Cambridge University Press
Published: Apr 18 1996
Pages: 236
Weight: 0.77
Height: 0.54 Width: 6.00 Depth: 9.00
Language: English
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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