Siegel's lemma, Padé approximations and jacobians
Siegel’s theorem and the Shafarevich conjecture
It is known that in the case of hyperelliptic curves the Shafarevich conjecture can be made effective, i.e., for any number field and any finite set of places of , one can effectively compute the set of isomorphism classes of hyperelliptic curves over with good reduction outside . We show here that an extension of this result to an effective Shafarevich conjecture for Jacobians of hyperelliptic curves of genus would imply an effective version of Siegel’s theorem for integral points on...
Some diophantine equations of the form
Some special curves of genus 5