On Effectivity for Integral Points on Some Curves of Genus 2

Most effective results for integral points on affine curves use the works of Baker or Bombieri on Diophantine approximation by S-units. Still, no completely general result is known already in genus 2. I will briefly present some recent work with Corvaja and Lombardo, obtaining effectivity for sets of curves of genus 2 which are dense in the moduli space.