A characterization of \({\mathbb{P}}_ n\) by vector bundles

DOI10.1007/BF02571257zbMath0726.14034MaRDI QIDQ802686

Thomas Peternell

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/174189

zbMATH Keywords

ample vector bundlefirst Chern classextremal rational curvescharacterization of projective space

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Projective techniques in algebraic geometry (14N05)

Related Items (14)

Ample vector bundles on singular varieties ⋮ Classification of Mukai pairs with corank $3$ ⋮ AMPLE VECTOR BUNDLES WITH SECTIONS VANISHING ON SPECIAL VARIETIES ⋮ The movable cone of certain Calabi-Yau threefolds of Picard number two ⋮ Positivity and vanishing theorems for ample vector bundles ⋮ Fano manifolds and vector bundles ⋮ Classification of generalized polarized manifolds by their nef values ⋮ Strictly nef vector bundles and characterizations of \(\mathbb{P}^n\) ⋮ Manifolds polarized by vector bundles ⋮ On projective varieties with strictly nef tangent bundles ⋮ Classification of Mukai pairs with dimension $4$ and rank $2$ ⋮ Mukai pairs and simple \(K\)-equivalence ⋮ Nefness of adjoint bundles for ample vector bundles of corank 3 ⋮ Note on Fano 3-folds

Cites Work

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• Length of extremal rays and generalized adjunction
• Projective manifolds with ample tangent bundles
• Vector bundles on complex projective spaces
• Characterizations of complex projective spaces and hyperquadrics
• Generalized adjunction and applications
• Threefolds whose canonical bundles are not numerically effective

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