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Integral points on hyperelliptic curves
2008
Algebra & Number Theory
Let C : Y 2 = a n X n + · · · + a 0 be a hyperelliptic curve with the a i rational integers, n ≥ 5, and the polynomial on the right-hand side irreducible. Let J be its Jacobian. We give a completely explicit upper bound for the integral points on the model C, provided we know at least one rational point on C and a Mordell-Weil basis for J .)ޑ( We also explain a powerful refinement of the Mordell-Weil sieve which, combined with the upper bound, is capable of determining all the integral
doi:10.2140/ant.2008.2.859
fatcat:a3iii577cnbu7f7bd74b2vu6du