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

In: Analytic and Algebraic Geometry

Author

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  • Tathagata Sengupta

    (University of Hyderabad, Department of Mathematics)

Abstract

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.

Suggested Citation

  • Tathagata Sengupta, 2017. "Elliptic Fibrations on Supersingular K3 Surface with Artin Invariant 1 in Characteristic 3," Springer Books, in: Anilatmaja Aryasomayajula & Indranil Biswas & Archana S. Morye & A. J. Parameswaran (ed.), Analytic and Algebraic Geometry, pages 239-292, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-5648-2_15
    DOI: 10.1007/978-981-10-5648-2_15
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