On manifolds whose tangent bundle contains an ample subbundle.
From MaRDI portal
Publication:5950704
DOI10.1007/s002220100177zbMath1081.14060MaRDI QIDQ5950704
Jarosław A. Wiśniewski, Marco Andreatta
Publication date: 13 December 2001
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and unirational varieties (14M20) Minimal model program (Mori theory, extremal rays) (14E30)
Related Items (34)
On uniform flag bundles on Fano manifolds ⋮ Uniform families of minimal rational curves on Fano manifolds ⋮ Weak Fano bundles on the cubic threefold ⋮ On Fano manifolds with a birational contraction sending a divisor to a curve ⋮ Varieties with ample tangent sheaves ⋮ Almost nef regular foliations and Fujita's decomposition of reflexive sheaves ⋮ Classification of Mukai pairs with corank $3$ ⋮ A conjecture of Mukai relating numerical invariants of Fano manifolds ⋮ Higher-Dimensional Geometry from Fano to Mori and Beyond ⋮ Projective manifolds whose tangent bundle contains a strictly nef subsheaf ⋮ CHARACTERIZATION OF PROJECTIVE SPACES AND -BUNDLES AS AMPLE DIVISORS ⋮ Geometry of the genus 9 Fano 4-folds ⋮ Rationally cubic connected manifolds. I: Manifolds covered by lines ⋮ On rank 2 vector bundles on Fano manifolds ⋮ On codimension 1 del Pezzo foliations on varieties with mild singularities ⋮ Galois coverings and endomorphisms of projective varieties ⋮ Finite morphisms of projective and Kähler manifolds ⋮ Manifolds containing an ample \(\mathbb{P}^1\)-bundle ⋮ Cohomological characterizations of projective spaces and hyperquadrics ⋮ Generalized Mukai conjecture for special Fano varieties ⋮ Rational curves of minimal degree and characterizations of projective spaces ⋮ Projective varieties admitting an embedding with Gauss map of rank zero ⋮ A note on the classification of Fano manifolds of middle index ⋮ Projective manifolds containing a large linear subspace with nef normal bundle ⋮ Strictly nef vector bundles and characterizations of \(\mathbb{P}^n\) ⋮ Manifolds polarized by vector bundles ⋮ An extension of Fujita's non-extendability theorem for Grassmannians ⋮ Vector bundles on rational homogeneous spaces ⋮ Identifying quadric bundle structures on complex projective varieties ⋮ On projective varieties with strictly nef tangent bundles ⋮ On the vector bundles over rationally connected varieties ⋮ Mukai pairs and simple \(K\)-equivalence ⋮ Nefness of adjoint bundles for ample vector bundles of corank 3 ⋮ Around the Mukai conjecture for Fano manifolds
This page was built for publication: On manifolds whose tangent bundle contains an ample subbundle.