Prolegomena to a middlebrow arithmetic of curves of genus 2 /

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Bibliographic Details
Author / Creator:Cassels, J. W. S. (John William Scott)
Imprint:Cambridge ; New York : Cambridge University Press, 1996.
Description:1 online resource (xiv, 218 pages) : illustrations.
Language:English
Series:London Mathematical Society lecture note series ; 230
London Mathematical Society lecture note series ; 230.
Subject:Curves, Algebraic.
MATHEMATICS -- Geometry -- Algebraic.
Curves, Algebraic.
Algebraïsche krommen.
Rekenkunde.
Courbes algébriques.
Géométrie algébrique.
Arithmetik
Algebraische Kurve
Geschlecht
Electronic books.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11180920
Hidden Bibliographic Details
Other authors / contributors:Flynn, E. V.
ISBN:9781107362178
1107362172
0521483700
9780521483704
9780511526084
Notes:Includes bibliographical references (pages 207-218) and index.
Print version record.
Summary: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.
Other form:Print version: Cassels, J.W.S. (John William Scott). Prolegomena to a middlebrow arithmetic of curves of genus 2. Cambridge ; New York : Cambridge University Press, 1996 0521483700