Vector Bundles Near Negative Curves: Moduli and Local Euler Characteristic

DOI10.1080/00927870802562351zbMath1174.14037arXivmath/0404012OpenAlexW1963497665MaRDI QIDQ3395617

Edoardo Ballico, Thomas Köppe, Elizabeth Gasparim

Publication date: 11 September 2009

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

Full work available at URL: https://arxiv.org/abs/math/0404012

zbMATH Keywords

holomorphic vector bundlesholomorphic Euler characteristiclocal moduli

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60)

Related Items (8)

Quantizations of local surfaces and rebel instantons ⋮ 25 open questions about vector bundles and their moduli ⋮ Lagrangian skeleta, collars and duality ⋮ Classical deformations of noncompact surfaces and their moduli of instantons ⋮ The Nekrasov conjecture for toric surfaces ⋮ Local moduli of holomorphic bundles ⋮ Deformations of noncompact Calabi–Yau manifolds, families and diamonds ⋮ Moduli Stacks of Bundles on Local Surfaces

Uses Software

• Macaulay2

Cites Work

• Three applications of instanton numbers
• Rank two bundles on the blow-up of \(\mathbb{C}^2\)
• Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex-projective orbifolds with isolated singularities
• Computing instanton numbers of curve singularities
• Numerical invariants for bundles on blow-ups
• Holomorphic bundles on O(− k) are algebraic
• Chern classes of bundles on blown-up surfaces
• Vector bundles on a neighborhood of an exceptional curve and elementary transformations
• The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle
• Vector bundles on a formal neighborhood of a curve in a surface

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