A Lower Bound for Sectional Genera of Ample and Spanned Vector Bundles on Algebraic Surfaces

DOI10.2307/2159965zbMath0813.14030OpenAlexW4241791672MaRDI QIDQ4292206

Francesco Russo, Lanteri, Antonio

Publication date: 30 June 1994

Full work available at URL: https://doi.org/10.2307/2159965

zbMATH Keywords

ruled surfaceample vector bundlesectional genusscroll over a smooth surface

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Divisors, linear systems, invertible sheaves (14C20) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Cites Work

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• Ample and spanned rank-2 vector bundles with \(c_ 2=2\) on complex surfaces
• Ample and spanned vector bundles of sectional genera three
• Ample vector bundles of small \(c_ 1\)-sectional genera
• Vector bundles on complex projective spaces
• On manifolds that cannot be ample divisors
• Ample vector bundles
• Classification of Rank-2 Ample and Spanned Vector Bundles on Surfaces Whose Zero Loci Consist of General Points

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