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K-stability and birational models of moduli of quartic K3 surfaces.
- Source :
- Inventiones Mathematicae; May2023, Vol. 232 Issue 2, p471-552, 82p
- Publication Year :
- 2023
-
Abstract
- We show that the K-moduli spaces of log Fano pairs (P 3 , c S) where S is a quartic surface interpolate between the GIT moduli space of quartic surfaces and the Baily–Borel compactification of moduli of quartic K3 surfaces as c varies in the interval (0, 1). We completely describe the wall crossings of these K-moduli spaces. As the main application, we verify Laza–O'Grady's prediction on the Hassett–Keel–Looijenga program for quartic K3 surfaces. We also obtain the K-moduli compactification of quartic double solids, and classify all Gorenstein canonical Fano degenerations of P 3 . [ABSTRACT FROM AUTHOR]
- Subjects :
- SAWLOGS
FORECASTING
Subjects
Details
- Language :
- English
- ISSN :
- 00209910
- Volume :
- 232
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Inventiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 163045093
- Full Text :
- https://doi.org/10.1007/s00222-022-01170-5