A vector bundle characterization of \({\mathbb{P}}^ n\)

DOI10.1007/BF02941370zbMath0701.14050MaRDI QIDQ913883

Andrew John Sommese, Lanteri, Antonio

Publication date: 1988

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

vector bundleadjunctionGorensteincharacterization of projective n-space3-dimensional scrolls

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)

Related Items

On the spannedness of adjunction of vector bundles ⋮ On the adjunction mapping ⋮ Length of extremal rays and generalized adjunction ⋮ Variazioni sul tema classico delle sezioni iperellittiche ⋮ On polarized 3-folds \((X,L)\) with \(g(L)=q(X)+1\) and \(h^0(L)\geq 4\) ⋮ On ample vector bundles whose adjunction bundles are not numerically effective ⋮ 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 ⋮ Ample and spanned vector bundles with large \(c^ 2_ 1\) relative to \(c_ 2\) on surfaces ⋮ On ample and spanned rank-3 bundles with low Chern numbers ⋮ Ample and spanned vector bundles of sectional genera three ⋮ Applications of the Ein-Lazarsfeld criterion for spannedness of adjoint bundles

Cites Work

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• Vector bundles on complex projective spaces
• Projective manifolds whose topology is strongly reflected in their hyperplane sections
• On the adjunction theoretic structure of projective varieties