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arXiv · 1204.6478

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

Tathagata Sengupta
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Abstract

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.

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Tathagata Sengupta. 2012-04-29. Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in characteristic 3. https://arxiv.org/abs/1204.6478

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