By J. W. S. Cassels
The quantity theoretic houses of curves of genus 2 are attracting expanding realization. This ebook offers new insights into this topic; a lot of the fabric here's totally new, and none has seemed in publication shape prior to. The authors comprise an particular therapy of the Jacobian, which throws new mild onto the geometry of the Kummer floor. Mathematicians can then make sure the Mordell-Weil crew for plenty of curves, and in lots of nontrivial situations they could locate all rational issues. the consequences exemplify the ability of desktop algebra in diophantine contexts, yet machine services isn't really assumed by and large textual content. quantity theorists, algebraic geometers and staff in comparable components will locate that this booklet deals distinctive insights.
Read or Download Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 (London Mathematical Society Lecture Note Series) PDF
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