A view on extending morphisms from ample divisors

zbMath1188.14032arXiv0907.2338MaRDI QIDQ3655315

Paltin Ionescu, Mauro C. Beltrametti

Publication date: 7 January 2010

Full work available at URL: https://arxiv.org/abs/0907.2338

zbMATH Keywords

Fano manifoldsample divisorsFano fibrationscomparing Kleiman--Mori conesextension of morphisms

Mathematics Subject Classification ID

Special varieties (14M99) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Families, moduli, classification: algebraic theory (14J10) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Embeddings in algebraic geometry (14E25) Adjunction problems (14N30)

Related Items (10)

Remarks on nef and movable cones of hypersurfaces in Mori dream spaces ⋮ Extending rationally connected fibrations from ample subvarieties ⋮ Non-Abelian Lefschetz hyperplane theorems ⋮ Remarks on Kawamata's effective non-vanishing conjecture for manifolds with trivial first Chern classes ⋮ Nef cones of fiber products and an application to the cone conjecture ⋮ CHARACTERIZATION OF PROJECTIVE SPACES AND -BUNDLES AS AMPLE DIVISORS ⋮ Ample subvarieties and rationally connected fibrations ⋮ Manifolds containing an ample \(\mathbb{P}^1\)-bundle ⋮ An extension of Fujita's non-extendability theorem for Grassmannians ⋮ Grothendieck-Lefschetz for ample subvarieties

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