Abstract：We prove that for each g at least 2, there is no universal construction combining Baker's method with finite étale covers to determine the integral points on all affine curves of genus g. This is joint work with Aaron Landesman
AbstractA general curve C of genus 6 can be embedded into the unique quintic del Pezzo surface X_5 as a divisor of class -2K_{X_5}. This embedding is unique up to the action of the symmetric group S_5. Taking a double cover of X_5 branched along C yields a K3 surface Y. Thus the K-moduli spaces of the pair (X_5, cC) can be studied via wall-crossing and by relating them to the Hassett-Keel progr...
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