Fano manifolds and vector bundles

DOI10.1007/BF01934319zbMath0786.14027OpenAlexW2094941776MaRDI QIDQ1204246

Jarosław A. Wiśniewski, Thomas Peternell, Michał Szurek

Publication date: 3 March 1993

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

Full work available at URL: https://eudml.org/doc/164995

zbMATH Keywords

Mori theoryample vector bundleFano manifold

Mathematics Subject Classification ID

Related Items (22)

Addendum to “Classification of generalized polarized manifolds by their nef values” ⋮ Sectional invariants of scroll over a smooth projective variety ⋮ Classification of Mukai pairs with corank $3$ ⋮ Some Fano manifolds whose Hilbert polynomial is totally reducible over ℚ ⋮ The movable cone of Calabi-Yau threefolds in ruled Fano manifolds ⋮ Hilbert curves of scrolls over threefolds ⋮ Ample vector bundles with zero loci of small Δ-genera ⋮ AMPLE VECTOR BUNDLES WITH SECTIONS VANISHING ON SPECIAL VARIETIES ⋮ The movable cone of certain Calabi-Yau threefolds of Picard number two ⋮ Contractions on a manifold polarized by an ample vector bundle ⋮ Ample vector bundles of small \(\Delta \)-genera ⋮ A note on the classification of Fano manifolds of middle index ⋮ Classification of generalized polarized manifolds by their nef values ⋮ Manifolds polarized by vector bundles ⋮ On Banica sheaves and Fano manifolds ⋮ On the adjunction mapping of very ample vector bundles of corank one ⋮ Scrolls over four dimensional varieties ⋮ Classification of Mukai pairs with dimension $4$ and rank $2$ ⋮ Fano 4-Folds with scroll structure ⋮ Mukai pairs and simple \(K\)-equivalence ⋮ Nefness of adjoint bundles for ample vector bundles of corank 3 ⋮ Fano manifolds and quadric bundles

Cites Work

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• On a conjecture of Mukai
• On compact Kähler manifolds with positive definite Ricci tensor
• On Fano manifolds of large index
• A characterization of \({\mathbb{P}}_ n\) by vector bundles
• On ample vector bundles whose adjunction bundles are not numerically effective
• Projective manifolds with ample tangent bundles
• Vector bundles on complex projective spaces
• Characterizations of complex projective spaces and hyperquadrics
• Remarks on quasi-polarized varieties
• Generalized adjunction and applications
• AMPLE VECTOR BUNDLES ON FANO MANIFOLDS
• Calabi's conjecture and some new results in algebraic geometry
• Ruled Fano 4-Folds of Index 2
• On contractions of extremal rays of Fano manifolds.

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