Bounding embedded singularities of Hilbert schemes of points on affine three space

DOI10.1142/s0218196724500140zbMATH Open1546.14011MaRDI QIDQ6545241

Jen-Chieh Hsiao

Publication date: 29 May 2024

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

singularitiesjet schemesHilbert schemes of points

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Parametrization (Chow and Hilbert schemes) (14C05) Infinitesimal methods in algebraic geometry (14B10) Birational geometry (14E99)

Cites Work

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• Murphy's law for Hilbert function strata in the Hilbert scheme of points
• Non-commutative Donaldson-Thomas invariants and the conifold
• Commuting matrices and the Hilbert scheme of points on affine spaces
• Motivic degree zero Donaldson-Thomas invariants
• Pathologies on the Hilbert scheme of points
• Components and singularities of Quot schemes and varieties of commuting matrices
• Murphy's law in algebraic geometry: Badly-behaved deformation spaces
• Singularities of pairs via jet schemes
• IMPANGA lecture notes on log canonical thresholds<br>Notes by Tomasz Szemberg

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