Derivations of negative weight and non-smoothability of certain singularities

DOI10.1007/BF01453973zbMath0507.14029OpenAlexW1971098574MaRDI QIDQ1837257

Jonathan M. Wahl

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/163605

zbMATH Keywords

Euler derivationDolgachev singularitiesGorenstein surface singularitiesgraded normal surface singularitynon smoothable singularitiessingularity with C*-action

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Geometric invariant theory (14L24) Singularities of surfaces or higher-dimensional varieties (14J17) Morphisms of commutative rings (13B10) Deformations of singularities (14B07)

Related Items

Derivations of the moduli algebras of weighted homogeneous hypersurface singularities, The Jacobian algebra of a graded Gorenstein singularity, Deformations of quasi-homogeneous surface singularities, The nonexistence of negative weight derivations on positive dimensional isolated singularities: generalized Wahl conjecture, Minimal set of generators for the derivation module of certain monomial curves, Nonexistence of negative weight derivations on graded Artin algebras: A conjecture of Halperin, A cohomological characterization of \({\mathbb{P}}^ n\), Deformation and Smoothing of Singularities, The smoothing components of a triangle singularity. II, Remarks on a conjecture of Nakai

Cites Work

• Unnamed Item
• Smoothings of normal surface singularities
• Algebraic construction of Brieskorn's resolutions
• Algebraic surfaces with k*-action
• Equisingular deformations of normal surface singularities. I
• Local contributions to global deformations of surfaces
• Derivations and integral closure
• Ample vector bundles
• Introduction to Grothendieck duality theory
• Quasihomogeneous isolated singularities of hyperplanes.
• Rigidity of quotient singularities
• On Minimally Elliptic Singularities
• The Cotangent Complex of a Morphism
• Functors of Artin Rings
• Normal surface singularities with \(\mathbb{C}^*\) action