S-units attached to genus 3 hyperelliptic curves

[摘要] Let C be a hyperelliptic curve of genus 3, with potentially goad reduction at all primes not dividing 3. defined over a number field ii. A function defined on thr Jacobian J of C will be constructed which. when evaluated at the 3-torsion points J[3] of J, will give S-units in K(J[3]): at most, the set S will consist of primes dividing 3. (C) 1997 Academic Press.

[发布日期] 1997-03-01