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arXiv · 2305.04418

A note on simple $K3$ singularities and families of weighted $K3$ surfaces

Makiko Mase
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Abstract

We discuss properties of the Seifert form for simple $K3$ singularities, and of the Picard lattices of families of weighted $K3$ surfaces. We study a collection $\mathcal{M}_{(\rho,\,\delta)}$ of $K3$ surfaces polarized by their Picard lattices that are in the set $\mathcal{L}_{(\rho,\,\delta)}$ of certain lattices. We also report a numerical formula that relates the Seifert form for the singularities and the Picard lattice of the family.

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Makiko Mase. 2023-05-08. A note on simple $K3$ singularities and families of weighted $K3$ surfaces. https://arxiv.org/abs/2305.04418

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