Rank two bundles on the blow-up of \(\mathbb{C}^2\)

DOI10.1006/jabr.1997.7156zbMath0902.14030OpenAlexW2075921490MaRDI QIDQ1378448

Elizabeth Gasparim

Publication date: 10 December 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7156

zbMATH Keywords

transition matrixblow-up of \(\mathbb{C}^2\)exceptional divisorclassification of rank 2 vector bundles

Mathematics Subject Classification ID

Related Items (12)

Quantizations of local surfaces and rebel instantons ⋮ Three applications of instanton numbers ⋮ Holomorphic bundles on O(− k) are algebraic ⋮ The Atiyah-Jones conjecture for rational surfaces ⋮ Classical deformations of noncompact surfaces and their moduli of instantons ⋮ Computing instanton numbers of curve singularities ⋮ Numerical invariants for bundles on blow-ups ⋮ Vector bundles on a formal neighborhood of a curve in a surface ⋮ Vector Bundles Near Negative Curves: Moduli and Local Euler Characteristic ⋮ Rank 2 vector bundles in a neighborhood of an exceptional curve of a smooth surface ⋮ Moduli Stacks of Bundles on Local Surfaces ⋮ Chern classes of bundles on blown-up surfaces

Cites Work

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• Stable bundles on blown up surfaces
• Instantons and jumping lines
• On the diffeomorphism types of certain algebraic surfaces. I
• On diffeomorphism types of certain algebraic surfaces. II
• Vector bundles on complex projective spaces

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