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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