Manifolds polarized by vector bundles

DOI10.1007/s10231-006-0005-2zbMath1222.14091OpenAlexW1987992097MaRDI QIDQ997569

Marco Andreatta, Carla Novelli

Publication date: 7 August 2007

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/s10231-006-0005-2

zbMATH Keywords

Adjunction theoryAmple vector bundleExtremal rays

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Minimal model program (Mori theory, extremal rays) (14E30) (n)-folds ((n>4)) (14J40)

Related Items (1)

Nefness of adjoint bundles for ample vector bundles of corank 3

Cites Work

• 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
• On Kodaira energy and adjoint reduction of polarized manifolds
• Fano manifolds and vector bundles
• The adjunction theory of complex projective varieties
• AMPLE VECTOR BUNDLES ON FANO MANIFOLDS
• VECTOR BUNDLES AND ADJUNCTION
• On Contractions of smooth varieties
• Contractions on a manifold polarized by an ample vector bundle
• Special rays in the Mori cone of a projective variety
• Classification of generalized polarized manifolds by their nef values
• On contractions of extremal rays of Fano manifolds.
• On manifolds whose tangent bundle contains an ample subbundle.
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