Elliptic deformations of minimally elliptic singularities

DOI10.1007/BF0322000zbMath0431.14012OpenAlexW2319874516MaRDI QIDQ1138055

Jonathan M. Wahl

Publication date: 1980

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

Full work available at URL: https://eudml.org/doc/163480

zbMATH Keywords

elliptic deformationscuspsresolution of singularitysimple elliptic singularityadjacenciesDolgachev singularitiesGorenstein surface singularitiessmoothable cusps

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Deformations of complex singularities; vanishing cycles (32S30) Deformations of singularities (14B07)

Related Items

Orthogonal exceptional collections from Q-Gorenstein degeneration of surfaces, Torus embeddings and deformation of simple singularities of space curves, Threefolds and deformations of surface singularities, Log-canonical degenerations of del Pezzo surfaces in \(\mathbb{Q}\)-Gorenstein families, Del Pezzo surfaces with a single \(1/k(1,1)\) singularity, A remark on deformations of 1-convex manifolds with exceptional curves, Exceptional collections on Dolgachev surfaces associated with degenerations, Fundamental group of rational homology disk smoothings of surface singularities, Rational blowdowns and smoothings of surface singularities, A construction of Horikawa surface via \({\mathbb{Q}}\)-Gorenstein smoothings, Smoothing cusp singularities of small length, MINIMALITY AND MUTATION-EQUIVALENCE OF POLYGONS, A simply connected surface of general type with \(p_g=0\) and \(K^2=2\), Hypersurface sections of toric singularities, Mirror symmetry and the classification of orbifold del Pezzo surfaces, Smoothings and rational double point adjacencies for cusp singularities, A simply connected surface of general type with \(p_{g}=0\) and \(K^{2}=3\), Deformations of the normalization of hypersurfaces, The dualizing sheaf on first-order deformations of toric surface singularities, Anticanonical models of rational surfaces, Complex Surface Singularities with Rational Homology Disk Smoothings, Deformation and Smoothing of Singularities, The smoothing components of a triangle singularity. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Simultaneous resolution and discriminantal loci
• Certain invariant subrings are Gorenstein. II
• Algebraic construction of Brieskorn's resolutions
• Vanishing theorems for resolutions of surface singularities
• Local normal forms of functions
• Equisingular deformations of normal surface singularities. I
• Die Hierarchie der 1-modularen Singularitäten
• On pencils of curves and deformations of minimally elliptic singularities
• Ambient deformations for exceptional sets in two-manifolds
• Taut two-dimensional singularities
• Deformations of cones with negative grading
• Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Rigidity of quotient singularities
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• On Minimally Elliptic Singularities
• Functors of Artin Rings