Moduli of varieties of general type

Abstract

This is a survey paper discussing the moduli problem for varieties of general type.

References in corpus (4)

• Invariance of Plurigenera
• Inversion of adjunction on log canonicity
• Existence of minimal models for varieties of log general type
• Minimal models and boundedness of stable varieties

Cited by in corpus (34)

• Special test configurations and $K$-stability of Fano varieties
• On the moduli of Kahler-Einstein Fano manifolds
• Semipositivity theorems for moduli problems
• Pluricanonical maps of stable log surfaces
• Invariance of Plurigenera and boundedness for Generalized Pairs
• ACC for log canonical thresholds
• Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds
• Projectivity of the moduli space of stable log-varieties and subadditvity of log-Kodaira dimension
• Existence of log canonical closures
• Semi-positivity in positive characteristics
• Boundedness of moduli of varieties of general type
• GIT and moduli with a twist
• Fundamental theorems for semi log canonical pairs
• Semi-stable extensions over 1-dimensional bases
• Grothendieck--Lefschetz type theorems for the local Picard group
• Reductive quotients of klt singularities
• Ampleness of the CM line bundle on the moduli space of canonically polarized varieties
• Volume and Hilbert function of R-divisors
• Geography of Gorenstein stable log surfaces
• Gorenstein stable Godeaux surfaces
• On Chow Stability for algebraic curves
• How much of the Hilbert function do we really need to know?
• The structure of algebraic varieties
• Moduli of $\mathbb{Q}$-Gorenstein pairs and applications
• Degeneration of Ricci-flat Calabi-Yau manifolds and its applications
• Canonical rings of Gorenstein stable Godeaux surfaces
• Virus infections, Corona surfaces, and extra components in the moduli space of stable surfaces
• Tropical Geometric Compactification of Moduli, II - $A_g$ case and holomorphic limits -
• Computing invariants of semi-log-canonical surfaces
• Automorphisms of smooth canonically polarized surfaces in characteristic 2
• An algebraic variant of the Fischer-Grauert Theorem
• Separatedness of moduli of K-stable varieties
• Arakelov-Parshin rigidity of towers of curve fibrations
• A new irreducible component of the moduli space of stable Godeaux surfaces