Good moduli spaces for boundary polarized Calabi-Yau surface pairs
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911938755166208 |
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| author | Blum, Harold Liu, Yuchen |
| author_facet | Blum, Harold Liu, Yuchen |
| contents | We construct projective asymptotically good moduli spaces parametrizing boundary polarized CY surface pairs, which are projective slc Calabi-Yau pairs $(X,D)$ such that $D$ is ample and $X$ has dimension two. The moduli space provides a wall crossing between certain KSBA and K-moduli spaces and is the ample model of the Hodge line bundle. In the case of K3 surfaces with a non-symplectic automorphism, the moduli space gives a modular interpretation for the Baily--Borel compactification. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00850 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Good moduli spaces for boundary polarized Calabi-Yau surface pairs Blum, Harold Liu, Yuchen Algebraic Geometry Differential Geometry We construct projective asymptotically good moduli spaces parametrizing boundary polarized CY surface pairs, which are projective slc Calabi-Yau pairs $(X,D)$ such that $D$ is ample and $X$ has dimension two. The moduli space provides a wall crossing between certain KSBA and K-moduli spaces and is the ample model of the Hodge line bundle. In the case of K3 surfaces with a non-symplectic automorphism, the moduli space gives a modular interpretation for the Baily--Borel compactification. |
| title | Good moduli spaces for boundary polarized Calabi-Yau surface pairs |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2407.00850 |