Classification of Rank-2 Ample and Spanned Vector Bundles on Surfaces Whose Zero Loci Consist of General Points

DOI10.2307/2154657zbMath0802.14006OpenAlexW4243778828MaRDI QIDQ4292733

Atsushi Noma

Publication date: 18 December 1994

Full work available at URL: https://doi.org/10.2307/2154657

zbMATH Keywords

spanned vector-bundle

Mathematics Subject Classification ID

Related Items (5)

Ample vector bundles with zero loci of small Δ-genera ⋮ A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number ⋮ Ample and spanned vector bundles of top Chern number two on smooth projective varieties ⋮ A Lower Bound for Sectional Genera of Ample and Spanned Vector Bundles on Algebraic Surfaces ⋮ Ample and spanned vector bundles with large \(c^ 2_ 1\) relative to \(c_ 2\) on surfaces

Cites Work

• Ample and spanned rank-2 vector bundles with \(c_ 2=2\) on complex surfaces
• Polarized surfaces with hyperelliptic sections
• Ample vector bundles of small \(c_ 1\)-sectional genera
• Residues and zero-cycles on algebraic varieties
• Vector bundles on complex projective spaces
• Lectures on deformations of singularities. Notes by C. S. Seshadri, Allen Tannenbaum
• Rank-2 vector bundles with many sections and low \(c_ 2\) on a surface
• The positivity of the Chern classes of an ample vector bundle
• Lectures on Curves on an Algebraic Surface. (AM-59)
• On Self-Intersection Number of a Section on a Ruled Surface
• P-Ample Bundles and Their Chern Classes
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