Determinantal singularities

DOI10.1007/978-3-031-31925-9_2MaRDI QIDQ6608480

Matthias Zach, Anne Frühbis-Krüger

Publication date: 20 September 2024

zbMATH Keywords

resolution of singularitiescomplete intersectionsdeformationsboundary singularitiesMilnor numberBetti numbersMilnor fiberpolar varietiesfinite determinacyNewton polyhedraskew symmetric matriceslogarithmic vector fieldsessentially isolated determinantal singularitiesdeterminantal singularitiesWhitney stratificationsemi-universal deformationsquasihomogeneous singularitiesvanishing homologyPfaffian idealsversal unfoldingsdeterminantal hypersurfacesrational surface singularitiesgeneric determinantal varietiesTyurina numberArtin componentclassification of simple singularitiesCohen-Macaulay singularities of codimension 2discriminants of matricesessential smoothingsessentially nonsingular pointsGorenstein singularities of codimension 3rank stratificationsingularities of square matricesTyurina transformationunfoldings and equivalence of matrices

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Determinantal varieties (14M12) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Deformations of complex singularities; vanishing cycles (32S30)

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Related Items (3)

On the topology of determinantal links ⋮ Desingularization of generic symmetric and generic skew-symmetric determinantal singularities ⋮ Characteristic cohomology. II: Matrix singularities

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