[PDF.95eh] Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 (London Mathematical Society Lecture Note Series)

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

[PDF.ho36] Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 (London Mathematical Society Lecture Note Series)

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 |  1996-04-18 |  1996-04-18 | File type: PDF

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|| |"The volume is a comprehensive introduction to the burgeoning theory of computations on genus 2 curves and jacobians, clearly written and chock full of first-rate mathematical insights; it will certainly be the primary reference source for anyone wishing to st

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. ...

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