A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model

DOI10.1090/S0002-9939-01-05895-6zbMath0983.14014OpenAlexW1589146144MaRDI QIDQ2723476

Tomohiro Okuma

Publication date: 5 July 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-05895-6

zbMATH Keywords

Gorenstein singularitynormal Gorenstein surfacelog-canonical modellog-plurigenera

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Singularities of surfaces or higher-dimensional varieties (14J17) Global theory of complex singularities; cohomological properties (32S20) Deformations of singularities (14B07)

Related Items (1)

The pluri-genera of surface singularities

Cites Work

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• On plurigenera of normal isolated singularities. I
• Anticanonical models of rational surfaces
• Small deformations of normal singularities
• A measure of integrity for local analytic algebras
• The asymptotic behavior of plurigenera for a normal isolated singularity
• The plurigenera of Gorenstein surface singularities
• On L 2 -Plurigenera of not-Log-Canonical Gorenstein Isolated Singularities
• A Characteristic Number for Links of Surface Singularities
• Invariance of the plurigenera of algebraic varieties under minimal model conjectures

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