Rational curves of minimal degree and characterizations of projective spaces

DOI10.1007/s00208-006-0775-2zbMath1109.14032arXivmath/0410584OpenAlexW2031125293MaRDI QIDQ2498482

Carolina Araujo

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

Mathematics Subject Classification ID

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