Moduli of K3 surfaces of degree 2 with four rational double points of type $D_4$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909130555392000 |
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| author | Ueda, Kazushi |
| author_facet | Ueda, Kazushi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04177 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moduli of K3 surfaces of degree 2 with four rational double points of type $D_4$ Ueda, Kazushi Algebraic Geometry 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. |
| title | Moduli of K3 surfaces of degree 2 with four rational double points of type $D_4$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2403.04177 |