Mathematical Research Letters

Volume 14, Issue 4, July 2007 pp. 597-613.

A new approach to minimising binary quartics and ternary cubics

Authors: Tom Fisher
Author institution: University of Cambridge

Summary: We prove a theorem on the minimisation of genus one curves, generalising work of Birch and Swinnerton-Dyer, Cremona and Serf, and Cremona and Stoll. The advantage of our approach over earlier methods is that we do not need to treat residue characteristics 2 and 3 as special cases.

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