On the spannedness and very ampleness of certain line bundles on the blow-ups of \(P^ 2 \)and \(F^ r\).

DOI10.1007/BF01455313zbMath0491.14009MaRDI QIDQ1167234

Ekin M. Bese

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163702

zbMATH Keywords

blow-upline bundlevery amplenessspannednessRamanujam vanishing theorem

Mathematics Subject Classification ID

Related Items (13)

Sextic Double Solids ⋮ Positivity of line bundles on general blow ups of \(\mathbb{P}^2\) ⋮ On the genus of a hyperplane section of a geometrically ruled surface ⋮ General position of points on a rational ruled surface ⋮ On factorial double solids with simple double points ⋮ Very ample line bundles on regular surfaces obtained by projection ⋮ Factorial hypersurfaces in \(\mathbb{P}^4\) with nodes ⋮ General blow-ups of the projective plane ⋮ Surfaces of degree \(d\) with sectional genus \(g\) in \(\mathbb{P}^{d+1-g}\) and deformations of cones ⋮ On factoriality of nodal threefolds ⋮ Factorial threefold hypersurfaces ⋮ Rational conic fibrations of sectional genus two ⋮ Factoriality of complete intersections in \(\mathbb{P}^{5}\)

Cites Work

• On the 2-connectedness of very ample divisors on a surface
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