ENGLISH

Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2

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

Book information

Publisher
Cambridge University Press
Year
1996
ISBN
0521483700, 9780521483704
LCC
QA565 .C38 1996
Google Books ID
uHz5ymQ9UxIC
Language
english
Format
PDF
Filesize
4 MB (4589097 bytes)
Series
London Mathematical Society Lecture Note Series 230
Pages
234\234
Orientation
yes
Scanned
yes
Time added
2012-03-17 06:00:00

Description

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.

Similar books