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

Tathagata Sengupta ()
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Tathagata Sengupta: University of Hyderabad, Department of Mathematics

A chapter in Analytic and Algebraic Geometry, 2017, pp 239-292 from Springer

Abstract: 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-5648-2_15

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DOI: 10.1007/978-981-10-5648-2_15

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