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- W4310276603 abstract "Abstract We show that the K-moduli spaces of log Fano pairs $$({mathbb {P}}^3, cS)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mo>(</mml:mo> <mml:msup> <mml:mrow> <mml:mi>P</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> <mml:mo>,</mml:mo> <mml:mi>c</mml:mi> <mml:mi>S</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> 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 $${mathbb {P}}^3$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow> <mml:mi>P</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> ." @default.
- W4310276603 created "2022-11-30" @default.
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- W4310276603 date "2022-11-27" @default.
- W4310276603 modified "2023-10-14" @default.
- W4310276603 title "K-stability and birational models of moduli of quartic K3 surfaces" @default.
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- W4310276603 doi "https://doi.org/10.1007/s00222-022-01170-5" @default.
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