On manifolds swept out by high dimensional quadrics

DOI10.1007/s00209-007-0265-6zbMath1146.14027OpenAlexW4242161151MaRDI QIDQ938266

Paltin Ionescu, Mauro C. Beltrametti

Publication date: 18 August 2008

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

Full work available at URL: https://doi.org/10.1007/s00209-007-0265-6

zbMATH Keywords

rational curvesquadricscrollhyperquadric fibration

Mathematics Subject Classification ID

Special varieties (14M99) Minimal model program (Mori theory, extremal rays) (14E30) Algebraic cycles (14C25) Adjunction problems (14N30)

Related Items (6)

ON PROJECTIVE MANIFOLDS SWEPT OUT BY CUBIC VARIETIES ⋮ On manifolds swept out by high dimensional hypersurfaces ⋮ Projective manifolds containing a large linear subspace with nef normal bundle ⋮ An extension of Fujita's non-extendability theorem for Grassmannians ⋮ Identifying quadric bundle structures on complex projective varieties ⋮ Subvarieties of small codimension in smooth projective varieties

Cites Work

• On a conjecture of Mukai
• On covering and quasi-unsplit families of curves
• Varieties with small dual varieties. II
• Projective manifolds swept out by large dimensional linear spaces
• Inductive characterizations of hyperquadrics
• Characterizations of complex projective spaces and hyperquadrics
• Varieties with quadratic entry locus, II
• Generalized adjunction and applications
• Segre’s reflexivity and an inductive characterization of hyperquadrics
• On contractions of extremal rays of Fano manifolds.
• Threefolds whose canonical bundles are not numerically effective
• Higher-dimensional algebraic geometry
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