Deformation and Smoothing of Singularities
From MaRDI portal
Publication:5014457
DOI10.1007/978-3-030-53061-7_7zbMath1475.32018arXiv1903.03661OpenAlexW2922067699MaRDI QIDQ5014457
Publication date: 2 December 2021
Published in: Handbook of Geometry and Topology of Singularities I (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.03661
Modifications; resolution of singularities (complex-analytic aspects) (32S45) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Deformations of complex singularities; vanishing cycles (32S30) Deformations of singularities (14B07)
Related Items
On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities, On the normal sheaf of Gorenstein curves
Uses Software
Cites Work
- Murphy's law for Hilbert function strata in the Hilbert scheme of points
- A note on a question of Dimca and Greuel
- Eindimensionale fast-vollständige Durchschnitte sind nicht starr
- Dualität in der lokalen Kohomologie isolierter Singularitäten
- Milnor number and Tjurina number of a complete intersection
- Deformationen isolierter Kurvensingularitäten mit eingebetteten Komponenten. (Deformations of isolated curve singularities with embedded components)
- On the topology of isolated singularities in analytic spaces
- Mirror symmetry for log Calabi-Yau surfaces. I
- The dimension of smoothing components
- On locally trivial deformations
- Riemann-Roch and smoothings of singularities
- The trivial locus of an analytic map germ
- Deformation von Gorenstein-Singularitäten der Kodimension 3
- Elliptic deformations of minimally elliptic singularities
- Formal moduli of algebraic structures
- Ein Kriterium für die Offenheit der Versalität
- The Milnor number and deformations of complex curve singularities
- Smoothings of normal surface singularities
- Singularities and topology of hypersurfaces
- Algebraic construction of Brieskorn's resolutions
- Limits of Hodge structures
- Deformations of normal surface singularities with \(\mathbb{C}^*\) action
- Calculation of Milnor number of isolated singularity of complete intersection
- Description de Hilb sup(n) C{X,Y}
- Cobordism obstructions to deforming isolated singularities
- Non-smoothable varieties
- Invarianten quasihomogener vollständiger Durchschnitte
- Weierstrass points and monomial curves
- Looijenga's conjecture via integral-affine geometry
- Equisingular and equinormalizable deformations of isolated non-normal singularities
- Derivations of negative weight and non-smoothability of certain singularities
- Rational surfaces with an anti-canonical cycle
- Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten
- Topological conditions for smoothing algebraic singularities
- Deformations of singularities
- Some elementary components of the Hilbert scheme of points
- Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
- Points de platitude d'un morphisme d'espaces analytiques complexes
- Lokale topologische Eigenschaften komplexer Räume
- Quasihomogeneous isolated singularities of hyperplanes.
- Reducibility of the families of O-dimensional schemes on a variety
- Rigidity of quotient singularities
- Über die Deformation isolierter Singularitäten analytischer Mengen
- On the versal deformation of a complex space with an isolated singularity
- Deformationen von Singularitäten komplexer Räume
- Milnor and Tjurina numbers for smoothings of surface singularities
- Deformations of Algebraic Schemes
- Deformation Theory
- Numerische Charakterisierung Quasihomogener GORENSTEIN-Kurvensingularitäten
- On the vanishing of local homotopy groups for isolated singularities of complex spaces.
- Pathologies IV
- The Invariance of Milnor's Number Implies the Invariance of the Topological Type
- Deformations of Cohen-Macaulay Schemes of Codimension 2 and Non-Singular Deformations of Space Curves
- A characterization of quasi-homogeneous complete intersection singularities
- On 1-forms on isolated complete intersection curve singularities
- On the Saito basis and the Tjurina number for plane branches
- Distinguished Bases and Monodromy of Complex Hypersurface Singularities
- The minimal Tjurina number of irreducible germs of plane curve singularities
- Complex singularities and contact topology
- Elementary components of Hilbert schemes of points
- On a Theorem of Greuel and Steenbrink
- Introduction to Singularities and Deformations
- On local equisingularity
- The Cotangent Complex of a Morphism
- Functors of Artin Rings
- Singular Points of Complex Hypersurfaces. (AM-61)
- LOCALLY SEMIUNIVERSAL FLAT DEFORMATIONS OF ISOLATED SINGULARITIES OF COMPLEX SPACES
- Formal deformation theory
- Torsion Differentials and Deformation
- Correspondence
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item