Numerical invariants for bundles on blow-ups

1999/06/26 by Edoardo Ballico, E. Ballico, Ballico, E. +3
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Computer Graphics and Visualization Techniques #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9906179

arxiv created 1999/06/26 · openalex publication_date 1999/06/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We suggest an effective procedure to calculate numerical invariants for rank two bundles over blown-up surfaces. We study the moduli spaces M_j of bundles on the blown-up plane splitting over the exceptional divisor as O(j)+O(-j). We use the numerical invariants to give a topological decomposition of M_j.

Related

• Moduli of bundles on the blown-up plane
• Blowups of surfaces and moduli of holomorphic vector bundles
• Ulrich bundles on blowups
• Interpolation and moduli spaces of vector bundles on very general blowups of the projective plane
• Holomorphic Rank Two Vector Bundles on Blow-ups