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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
London Mathematical Society Lecture Note Series |
| Release date: |
April 1996 |
| First published: |
1996 |
| Authors: |
J. W. S. Cassels
• E.V. Flynn
|
| Dimensions: |
228 x 152 x 16mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
236 |
| ISBN-13: |
978-0-521-48370-4 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
|
| LSN: |
0-521-48370-0 |
| Barcode: |
9780521483704 |
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