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arXiv:1204.6478 [math.AG]AbstractReferencesReviewsResources

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

Tathagata Sengupta

Published 2012-04-29, updated 2012-08-27Version 2

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.

Comments: 38 pages, 3 figures
Categories: math.AG
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