Rational curves of minimal degree and characterizations of projective spaces
From MaRDI portal
Publication:2498482
DOI10.1007/s00208-006-0775-2zbMath1109.14032arXivmath/0410584OpenAlexW2031125293MaRDI QIDQ2498482
Publication date: 16 August 2006
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410584
Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (n)-folds ((n>4)) (14J40)
Related Items (20)
Uniform families of minimal rational curves on Fano manifolds ⋮ Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1 ⋮ A characterization of symplectic Grassmannians ⋮ On Fano foliations ⋮ Fano foliations with small algebraic ranks ⋮ A conjecture of Mukai relating numerical invariants of Fano manifolds ⋮ Projective manifolds whose tangent bundle contains a strictly nef subsheaf ⋮ CHARACTERIZATION OF PROJECTIVE SPACES AND -BUNDLES AS AMPLE DIVISORS ⋮ A bound of lengths of chains of minimal rational curves on Fano manifolds of Picard number 1 ⋮ Projective Varieties Swept Out by Rational Normal Curves ⋮ Minimal Rational Curves on Complete Toric Manifolds and Applications ⋮ Cohomological characterizations of projective spaces and hyperquadrics ⋮ Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity ⋮ Projective varieties admitting an embedding with Gauss map of rank zero ⋮ Strictly nef vector bundles and characterizations of \(\mathbb{P}^n\) ⋮ Base manifolds for fibrations of projective irreducible symplectic manifolds ⋮ Identifying quadric bundle structures on complex projective varieties ⋮ Recognizing ℙnin Classical and Modern Setting ⋮ On a generalization of the Mukai conjecture for Fano fourfolds ⋮ Classification of secant defective manifolds near the extremal case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterization of the projective space
- A cohomological characterization of \({\mathbb{P}}^ n\)
- Projective manifolds with ample tangent bundles
- Rational curves and ampleness properties of the tangent bundle of algebraic varieties
- Birationality of the tangent map for minimal rational curves
- Local contributions to global deformations of surfaces
- Derivations and integral closure
- A Characterization of Products of Projective Spaces
- Families of singular rational curves
- On manifolds whose tangent bundle contains an ample subbundle.
This page was built for publication: Rational curves of minimal degree and characterizations of projective spaces