Kodai Mathematical Journal

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.

Article information

Source
Kodai Math. J., Volume 42, Number 3 (2019), 409-430.

Dates
First available in Project Euclid: 31 October 2019

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1572487224

Digital Object Identifier
doi:10.2996/kmj/1572487224

Mathematical Reviews number (MathSciNet)
MR4025753

Citation

Mase, Makiko. Families of $K3$ surfaces and curves of (2,3)-torus type. Kodai Math. J. 42 (2019), no. 3, 409--430. doi:10.2996/kmj/1572487224. https://projecteuclid.org/euclid.kmj/1572487224


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