On 2-very ample divisors of genus \(\leq 8\) on algebraic surfaces

DOI10.1007/BF01759377zbMath0963.14019OpenAlexW2003102653MaRDI QIDQ1568770

Marco Franciosi

Publication date: 28 August 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01759377

zbMATH Keywords

ruled surfacearithmetic genus\(k\)-very ample divisorSegre-Hirzebruch 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)

Cites Work

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• d-very-ample line bundles and embeddings of Hilbert schemes of 0-cycles
• On Reider's method and higher order embeddings
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• Surfaces of sectional genus \(\leq 8\) with no trisecant lines
• 2-spanned surfaces of sectional genus six
• Projective surfaces with \(k\)-very ample line bundles of genus \(\leq 3k+1\)
• Rational surfaces in \({\mathbb{P}}^4\) containing a plane curve

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