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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.11742 |
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| _version_ | 1866914341342674944 |
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| author | Nukui, Hayato |
| author_facet | Nukui, Hayato |
| contents | By a lattice theoretic approach, Brandhorst--Hashimoto has made the list of K3 surfaces with finite groups of automorphisms which properly contain a maximal symplectic automorphism group. We give $3$ different explicit descriptions to the $K3$ surface with an action of $\mathfrak{S}_4\times \mathfrak{S}_4$, with various characterizations, and construct an explicit isomorphism to the Schur's quartic. We also calculate the intersection of the two polarization-preserving finite automorphism groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11742 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the $K3$ surface with $\mathfrak{S}_4 \times \mathfrak{S}_4$ action Nukui, Hayato Algebraic Geometry By a lattice theoretic approach, Brandhorst--Hashimoto has made the list of K3 surfaces with finite groups of automorphisms which properly contain a maximal symplectic automorphism group. We give $3$ different explicit descriptions to the $K3$ surface with an action of $\mathfrak{S}_4\times \mathfrak{S}_4$, with various characterizations, and construct an explicit isomorphism to the Schur's quartic. We also calculate the intersection of the two polarization-preserving finite automorphism groups. |
| title | On the $K3$ surface with $\mathfrak{S}_4 \times \mathfrak{S}_4$ action |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2602.11742 |