Linear Forms in Logarithms and Integer Points on Genus-two Curves

Loading...
Thumbnail Image

Files

umi-umd-3982.pdf (533.44 KB)
No. of downloads: 808

Publication or External Link

Date

2006-11-27

Citation

DRUM DOI

Abstract

We consider a linear form with algebraic coefficients, evaluated at points on the analytic Jacobian of a genus-two curve whose projective coordinates are algebraic. Previous results on the existence of a lower bound of a particular shape are made explicit. We study various properties of Jacobians of genus-two curves, paying particular attention to their embeddings into projective space, and give a method which can be used to find provably all integer points on a genus-two curve. We apply this method to one particular curve by way of example.

Notes

Rights