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Curves with low Harbourne constants on Kummer and Abelian surfaces. (arXiv:1711.06449v2 [math.AG] UPDATED)

来源于:arXiv
We construct and study curves with low H-constants on abelian and K3 surfaces. Using the Kummer $(16_{6})$-configurations on Jacobian surfaces and some $(16_{10})$-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 $<-4$. 查看全文>>