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Pré-Publication, Document De Travail Année : 2019

Rational curves on elliptic K3 surfaces

Résumé

We prove that any non-isotrivial elliptic K3 surface over an algebraically closed field of arbitrary characteristic contains infinitely many rational curves. This result was previously known in characteristic zero due to the work of Bogomolov and Tschinkel.

Dates et versions

hal-02389341 , version 1 (02-12-2019)

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Citer

Salim Tayou. Rational curves on elliptic K3 surfaces. 2019. ⟨hal-02389341⟩
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