Desingularization of generic symmetric and generic skew-symmetric determinantal singularities

DOI10.1007/S00229-024-01544-4MaRDI QIDQ6564499

Bernd Schober, Sabrina Alexandra Gaube

Publication date: 1 July 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

zbMATH Keywords

resolution of singularities

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Singularities in algebraic geometry (14B05) Determinantal varieties (14M12) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17)

Cites Work

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• Complete collineations and blowing up determinantal ideals
• Determinantal rings
• Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
• Partial local resolution by characteristic zero methods
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Lectures on Resolution of Singularities (AM-166)
• Constructiveness of Hironaka's resolution
• Patching local uniformizations
• Determinantal singularities

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