A compactification of the moduli variety of stable vector 2-bundles on a surface in the Hilbert scheme

DOI10.1134/S0001434607110107zbMath1167.14028OpenAlexW2088572870MaRDI QIDQ941899

Nadezda Timofeera

Publication date: 2 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607110107

zbMATH Keywords

Hilbert schemeGrassmann manifoldprojective surfacestable sheavesuniversal familycompactification of moduli spaceGieseker stable vector bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (5)

Bubble tree compactification of moduli spaces of vector bundles on surfaces ⋮ Admissible pairs vs Gieseker-Maruyama ⋮ On degeneration of the surface in the Fitting compactification of moduli of stable vector bundles ⋮ On a new compactification of moduli of vector bundles on a surface. V: Existence of a universal family ⋮ On a new compactification of moduli of vector bundles on a surface. IV: Nonreduced moduli

Cites Work

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• On the moduli of vector bundles on an algebraic surface
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• The variety of complete pairs of zero-dimensional subschemes of an algebraic surface

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