Curves with low Harbourne constants on Kummer and abelian surfaces - Institut de Mathématiques de Marseille 2014- Access content directly
Journal Articles Rendiconti del Circolo Matematico di Palermo Year : 2018

Curves with low Harbourne constants on Kummer and abelian surfaces

Abstract

We construct and study curves with low H-constants on abelian and K3 surfaces. Using the Kummer configurations on Jacobian surfaces and some (1610)configurations of curves on (1, 3)-polarized Abelian surfaces, we obtain examples of configurations of curves of genus > 1 on a generic Jacobian K3 surface with H-constants < -4.
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Dates and versions

hal-02076429 , version 1 (08-06-2023)

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Xavier Roulleau. Curves with low Harbourne constants on Kummer and abelian surfaces. Rendiconti del Circolo Matematico di Palermo, 2018, 67 (3), pp.481-491. ⟨10.1007/s12215-017-0328-4⟩. ⟨hal-02076429⟩
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