NC-smooth algebroid thickenings for families of vector bundles and quiver representations

DOI10.1112/S0010437X19007115zbMath1425.14003arXiv1710.00243MaRDI QIDQ5227660

Ben Dyer, Alexander Polishchuk

Publication date: 7 August 2019

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

Full work available at URL: https://arxiv.org/abs/1710.00243

zbMATH Keywords

quiver representationsrepresentations of quiversmoduli of vector bundlesalgebroidNC-smooth thickeningcommutator filtrationaffine almost NC (aNC) schemesalgebroid thickeningexcellent familyexcellent family of bundlesformally smooth functorNC-completeNC-nilpotent algebraNC-smooth algebraNC-smoothness

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Algebraic moduli problems, moduli of vector bundles (14D20)

Cites Work

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• DG-resolutions of NC-smooth thickenings and NC-Fourier-Mukai transforms
• A simple geometrical construction of deformation quantization
• Deformation quantization modules
• Noncommutative geometry based on commutator expansions
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
• Algebra Extensions and Nonsingularity
• Non-commutative thickening of moduli spaces of stable sheaves
• Deformation quantization of algebraic varieties.

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