Jacobian genus 1 fibrations
نویسنده
چکیده
The supersingular K3 surface X in characteristic 2 with Artin invariant 1 admits several genus 1 fibrations (elliptic and quasi-elliptic). We use a bijection between fibrations and definite even lattices of rank 20 and discriminant 4 to classify the fibrations, and exhibit isomorphisms between the resulting models of X. We also study a configuration of (−2)-curves on X related to the incidence graph of points and lines of P2(F4).
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