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Compactifications of moduli spaces of K3 surfaces with a nonsymplectic involution
- Publication Year :
- 2022
-
Abstract
- There are $75$ moduli spaces $F_S$ of K3 surfaces with a nonsymplectic involution. We give detailed descriptions of Kulikov models for one-parameter degenerations in $F_S$. In the $50$ cases where the fixed locus of the involution has a component $C_g$ of genus $g\ge2$, we identify normalizations of the KSBA compactifications of $F_S$ via stable pairs $(X,\epsilon C_g)$, with explicit semitoroidal compactifications of $F_S$.<br />Comment: v2: More examples added and the references updated. 18 figures, 2 tables
- Subjects :
- Mathematics - Algebraic Geometry
Mathematical Physics
14J28, 14D22
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2208.10383
- Document Type :
- Working Paper