KSBA compactification of the moduli space of K3 surfaces with a purely non-symplectic automorphism of order four

DOI10.1017/S001309152100002XzbMath1470.14069arXiv1809.05182OpenAlexW3156342516MaRDI QIDQ4993992

Han-Bom Moon, Luca Schaffler

Publication date: 11 June 2021

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05182

zbMATH Keywords

compactificationmoduli space\(K3\) surfacestable pair

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10)

Related Items (3)

Compact moduli of K3 surfaces with a nonsymplectic automorphism ⋮ Unimodal singularities and boundary divisors in the KSBA moduli of a class of Horikawa surfaces ⋮ Stable log surfaces, admissible covers, and canonical curves of genus 4

Cites Work

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• Moduli spaces of weighted pointed stable rational curves via GIT
• Stable pair, tropical, and log canonical compactifications of moduli spaces of del Pezzo surfaces
• Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
• Threefolds and deformations of surface singularities
• Degeneration of surfaces with trivial canonical bundle
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Moduli spaces of weighted pointed stable curves.
• Compactifications of the moduli space of plane quartics and two lines
• Moduli of weighted hyperplane arrangements. Edited by Gilberto Bini, Martí Lahoz, Emanuele Macrì and Paolo Stellari
• Symmetries of order four on \(K3\) surfaces
• Moduli of fibered surface pairs from twisted stable maps
• Murphy's law in algebraic geometry: Badly-behaved deformation spaces
• Geometric interpretation of toroidal compactifications of moduli of points in the line and cubic surfaces
• Non-normal abelian covers
• Degenerations of K3 Surfaces of Degree 4
• DEGENERATIONS OFK3 SURFACES AND ENRIQUES SURFACES
• Geometric Invariant Theory
• Moduli spaces $M_{g,n}(W)$ for surfaces
• Introduction to Singularities
• Introduction
• Stable log surfaces, admissible covers, and canonical curves of genus 4
• Fundamental theorems for semi log canonical pairs
• ADE surfaces and their moduli

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