Compactifications of moduli of del Pezzo surfaces via line arrangement and K-stability

Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Fine and coarse moduli spaces (14D22) Stacks and moduli problems (14D23)

Cites Work

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Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces
On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
Threefolds and deformations of surface singularities
Normal Gorenstein surfaces with ample anti-canonical divisor
A memoir on cubic surfaces
Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds
Kähler-Einstein metrics and volume minimization
K-semistability is equivariant volume minimization
The GIT stability of polarized varieties via discrepancy
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Finite generation for valuations computing stability thresholds and applications to K-stability
A minimizing valuation is quasi-monomial
Reductivity of the automorphism group of K-polystable Fano varieties
On positivity of the CM line bundle on K-moduli spaces
Optimal destabilizing centers and equivariant K-stability
Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties
Log minimal model program for the moduli space of stable curves of genus three
A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties
Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces
Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties
On K-stability of finite covers
Geometric Invariant Theory
Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
The volume of singular Kähler–Einstein Fano varieties
Recovering plane curves from their bitangents
Equivariant K-stability under finite group action
Real Space Sextics and their Tritangents
Algebraicity of the metric tangent cones and equivariant K-stability
On the moduli of degree 4 Del Pezzo surfaces
K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES
Compact moduli spaces of del Pezzo surfaces and Kähler-Einstein metrics

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