Mori dream K3 surfaces of Picard number four: projective models and Cox rings (Q6584674)
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scientific article; zbMATH DE number 7893787
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mori dream K3 surfaces of Picard number four: projective models and Cox rings |
scientific article; zbMATH DE number 7893787 |
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Mori dream K3 surfaces of Picard number four: projective models and Cox rings (English)
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8 August 2024
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This paper classify all families of complex \(K\)3 surfaces with Picard number four and finite automorphism group. Then Vinberg's algorithm is applied to compute the effective cone and the nef cone, to give projective models and to study the Cox ring of these surfaces.\N\NIt is shown that 11 of the 14 corresponding moduli spaces are unirational and that one of the moduli spaces is rational.
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K3 surfaces
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Cox rings
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