Computing integral points on hyperelliptic curves using quadratic Chabauty Academic Article uri icon

abstract

  • We give a method for the computation of integral points on a hyperelliptic curve of odd degree over the rationals whose genus equals the Mordell-Weil rank of its Jacobian. Our approach consists of a combination of the $p$-adic approximation techniques introduced in previous work with the Mordell-Weil sieve

publication date

  • January 1, 2017