On covering and quasi-unsplit families of curves

DOI10.4171/JEMS/71zbMath1107.14015OpenAlexW2044055796MaRDI QIDQ866486

Cinzia Casagrande, Stéphane Druel, Laurent Bonavero

Publication date: 20 February 2007

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_issue.php?issn=1435-9855&vol=9&iss=1

zbMATH Keywords

quotientextremal curvesCovering families of curves

Mathematics Subject Classification ID

Special varieties (14M99) Surfaces and higher-dimensional varieties (14J99) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (15)

Flag bundles on Fano manifolds ⋮ On Fano manifolds with a birational contraction sending a divisor to a curve ⋮ Fano deformation rigidity of rational homogeneous spaces of submaximal Picard numbers ⋮ A characterization of symplectic Grassmannians ⋮ A conjecture of Mukai relating numerical invariants of Fano manifolds ⋮ On Fano manifolds of large pseudoindex ⋮ Rationally cubic connected manifolds. I: Manifolds covered by lines ⋮ On rank 2 vector bundles on Fano manifolds ⋮ On manifolds swept out by high dimensional quadrics ⋮ Cohomological characterizations of projective spaces and hyperquadrics ⋮ Conic-connected manifolds ⋮ Projective manifolds containing a large linear subspace with nef normal bundle ⋮ Positivity of the second exterior power of the tangent bundles ⋮ Identifying quadric bundle structures on complex projective varieties ⋮ Numerical invariants of Fano 4-folds

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• Extremal contractions from 4-dimensional manifolds to 3-folds
• Segre’s reflexivity and an inductive characterization of hyperquadrics
• On varieties that are uniruled by lines
• Higher-dimensional algebraic geometry

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