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arXiv · 1902.02195

Families of K3 surfaces and curves of (2,3)-torus type

Makiko Mase
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Abstract

We study families of $K3$ surfaces obtained by double covering of the projective plane branching along curves of $(2,3)$-torus type. In the first part, we study the Picard lattices of the families, and a lattice duality of them. In the second part, we describe a deformation of singularities of Gorenstein $K3$ surfaces in these families.

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Makiko Mase. 2019-02-06. Families of K3 surfaces and curves of (2,3)-torus type. https://arxiv.org/abs/1902.02195

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