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- W2086544892 abstract "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 irreducible. Let J be its Jacobian. Let S be a finite set of rational primes. We give a completely explicit upper bound for the size of the S-integral points on the model C, provided we know at least one rational point on C and a Mordell–Weil basis for J(ℚ). We use a refinement of the Mordell–Weil sieve which, combined with the upper bound, is capable of determining all the S-integral points. The method is illustrated by determining the S-integral points on the genus 2 hyperelliptic model Y 2 - Y = X 5 - X for the set S of the first 22 primes." @default.
- W2086544892 created "2016-06-24" @default.
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- W2086544892 date "2011-05-01" @default.
- W2086544892 modified "2023-09-27" @default.
- W2086544892 title "S-INTEGRAL POINTS ON HYPERELLIPTIC CURVES" @default.
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- W2086544892 doi "https://doi.org/10.1142/s1793042111004435" @default.
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