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arXiv · 2403.04177

Moduli of K3 surfaces of degree 2 with four rational double points of type $D_4$

Kazushi Ueda
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Abstract

We show that the Satake-Baily-Borel compactification of the moduli space of lattice polarized K3 surfaces parametrizing K3 surfaces of degree 2 with four rational double points of type $D_4$ is the projective 3-space. We also show that the corresponding graded ring of automorphic forms is generated by four elements of weight 2 and one element of weight 11 with one relation of weight 22.

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Kazushi Ueda. 2024-03-07. Moduli of K3 surfaces of degree 2 with four rational double points of type $D_4$. https://arxiv.org/abs/2403.04177

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