Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1   in characteristic 3
  We describe all the elliptic models with section on the Shioda supersingular K3 surface X of Artin invariant 1 over an algebraically closed field of characteristic 3. In particular, we compute elliptic parameters and Weierstrass equations for the fifty two different fibrations, and analyze the reducible fibers and Mordell-Weil lattices. 
Tathagata Sengupta
math.AG