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We describe elliptic models with section on the Shioda supersingular K3 surface X of Artin invariant 1 over an algebraically closed field of characteristic 3. We compute elliptic parameters and Weierstrass equations for the fifty two different fibrations, and analyze some of the reducible fibers and Mordell-Weil lattices.

Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3