Characterizing singularities of varieties and of mappings

DOI10.1007/BF01388580zbMath0627.14004OpenAlexW2081393618MaRDI QIDQ581474

Terence Gaffney, Herwig Hauser

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143266

zbMATH Keywords

right-left equivalencecomplex germisomorphy of singularities

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Germs of analytic sets, local parametrization (32B10) Local complex singularities (32S05) Complex singularities (32Sxx)

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Isosingular loci of algebraic varieties ⋮ The trivial locus of an analytic map germ ⋮ Symmetries and stabilization for sheaves of vanishing cycles ⋮ A tangent space characterisation of the equivalence of germs for geometric subgroups of and ⋮ Noncommutative Mather-Yau theorem and its applications to Calabi-Yau algebras ⋮ Hypersurface singularities with monomial Jacobian ideal ⋮ Reconstruction of a hypersurface singularity from its moduli algebra ⋮ On Tjurina ideals of hypersurface singularities ⋮ The cancellation property for direct products of analytic space germs ⋮ Today’s menu: Geometry and resolution of singular algebraic surfaces ⋮ Deformation of Milnor algebras ⋮ Classification of isolated complete intersection singularities ⋮ Characterizing normal crossing hypersurfaces

Cites Work

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• Quasihomogeneous isolated singularities of hyperplanes.
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• Criterion for biholomorphic equivalence of isolated hypersurface singularities
• The Cartesian Product Structure and C ∞ Equivalences of Singularities
• Isosingular Loci and the Cartesian Product Structure of Complex Analytic Singularities

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