Curves with low Harbourne constants on Kummer and Abelian surfaces

2017/11/17 by Roulleau, Xavier
#14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1711.06449

Abstract

We construct and study curves with low H-constants on abelian and K3 surfaces. Using the Kummer (16₆)-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

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