Genus $1$ fibrations on the supersingular $\mathrm{K}3$ surface in characteristic $2$ with Artin invariant $1$ Article Swipe
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Noam D. Elkies
,
Matthias Schütt
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YOU?
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· 2015
· Open Access
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· DOI: https://doi.org/10.4310/ajm.2015.v19.n3.a7
· OA: W2963562129
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.4310/ajm.2015.v19.n3.a7
· OA: W2963562129
The supersingular K3 surface X in characteristic 2 with Artin invariant 1 admits several genus 1 fibrations (elliptic and quasi-elliptic).We use a bijection between fibrations and definite even lattices of rank 20 and discriminant 4 to classify the fibrations, and we exhibit isomorphisms between the resulting models of X.We also study a configuration of (-2)-curves on X related to the incidence graph of points and lines of P 2 (F 4 ).
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