Quot schemes and Fourier-Mukai transformation

DOI10.1515/coma-2023-0152arXiv2307.05118MaRDI QIDQ6076562

Manish Kumar, A. J. Parameswaran, Indranil Biswas, Umesh V. Dubey

Publication date: 17 October 2023

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.05118

zbMATH Keywords

Hilbert schemesymmetric productFourier-Mukai transformationquot scheme

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Parametrization (Chow and Hilbert schemes) (14C05) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Fourier-Mukai and Nahm transforms in geometry and mathematical physics
• On the Krull-Schmidt theorem with application to sheaves
• Fourier-Mukai transform of vector bundles on surfaces to Hilbert scheme
• Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points

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