KSBA surfaces with elliptic quotient singularities, \(\pi_{1}=1\), \(p_{g}=0\), and \(K^{2}=1,2\)

DOI10.1007/s11856-016-1350-5zbMath1349.14134arXiv1409.4985OpenAlexW2963834998MaRDI QIDQ312303

Giancarlo Urzúa, Arié Stern

Publication date: 15 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4985

zbMATH Keywords

log canonical singularitieselliptic quotient singularitiesKSBA surfacesWahl singularities

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29)

Related Items (6)

Some open questions about line arrangements in the projective plane ⋮ The Craighero–Gattazzo surface is simply connected ⋮ Optimal bounds for T-singularities in stable surfaces ⋮ Rational configurations in \(K3\) surfaces and simply-connected \(p_g=1\) surfaces with \(K^2=1,2,3,4,5,6,7,8,9\) ⋮ SIMPLY CONNECTED COMPLEX SURFACES OF GENERAL TYPE WITH p g = 0 AND K 2 = 1, 2 ⋮ On degenerations of \(\mathbb{Z} {/} 2\)-Godeaux surfaces

Cites Work

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• A simply connected numerical Campedelli surface with an involution
• Log-terminal smoothings of graded normal surface singularities
• On rational homology disk smoothings of valency 4 surface singularities
• Representation theory for log-canonical surface singularities
• A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=3\)
• A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=4\)
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Smoothings of normal surface singularities
• A simply connected surface of general type with \(p_g=0\) and \(K^2=2\)
• Compact moduli spaces of surfaces of general type
• Complex structure on the rational blowdown of sections in E(4)
• NUMERICAL BOUNDS FOR DEGENERATIONS OF SURFACES OF GENERAL TYPE
• Simply connected surfaces of general type in positive characteristic via deformation theory

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