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- W3193669669 abstract "We show that the K-moduli spaces of log Fano pairs $(mathbb{P}^3, cS)$ 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 $mathbb{P}^3$." @default.
- W3193669669 created "2021-08-30" @default.
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- W3193669669 date "2021-08-15" @default.
- W3193669669 modified "2023-09-25" @default.
- W3193669669 title "K-stability and birational models of moduli of quartic K3 surfaces" @default.
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- W3193669669 doi "https://doi.org/10.48550/arxiv.2108.06848" @default.
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