Small deformations of normal singularities

DOI10.1007/BF01458588zbMath0586.14001OpenAlexW2055777277MaRDI QIDQ1071824

Shihoko Ishii

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164138

zbMATH Keywords

deformation of normal isolated singularitysmall deformation of a Du Bois singularity

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Deformations of singularities (14B07)

Related Items

Erratum: Small deformation of normal singularities, The asymptotic behavior of plurigenera for a normal isolated singularity, Du Bois invariants of isolated complete intersection singularities, A sharp lower bound for the geometric genus and Zariski multiplicity question, The pluri-genera of surface singularities, On strong vanishing property and plurigenera of isolated singularities, Deformations of Log Terminal and Semi Log Canonical Singularities, Arithmetic and geometric deformations of threefolds, On canonical singularities as total spaces of deformations, A numerical condition for a deformation of a Gorenstein surface singularity to admit a simultaneous log-canonical model, SIMULTANEOUS GOOD RESOLUTIONS OF DEFORMATIONS OF GORENSTEIN SURFACE SINGULARITIES

Cites Work

• On plurigenera of normal isolated singularities. I
• On isolated Gorenstein singularities
• The cone of curves of algebraic varieties
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Minimal models and the Kodaira dimension of algebraic fiber spaces.
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