Desingularization of generic symmetric and generic skew-symmetric determinantal singularities

We discuss how to resolve generic skew-symmetric and generic symmetric determinantal singularities. The key ingredients are (skew-) symmetry preserving matrix operations in order to deduce an inductive argument.

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Bibliographic Details
Published in:Manuscripta mathematica 2024, Vol.174 (3-4), p.1113-1131
Main Authors: Gaube, Sabrina Alexandra, Schober, Bernd
Format: Article
Language:English
Subjects:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Singularities
Symmetry
Topological Groups
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Description
Summary:We discuss how to resolve generic skew-symmetric and generic symmetric determinantal singularities. The key ingredients are (skew-) symmetry preserving matrix operations in order to deduce an inductive argument.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-024-01544-4