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Good moduli spaces for boundary polarized Calabi-Yau surface pairs
- Publication Year :
- 2024
-
Abstract
- 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.<br />Comment: 57 pages, comments are very welcome
- Subjects :
- Mathematics - Algebraic Geometry
Mathematics - Differential Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.00850
- Document Type :
- Working Paper