Cohomological characterizations of projective spaces and hyperquadrics
From MaRDI portal
Publication:958171
DOI10.1007/s00222-008-0130-1zbMath1162.14037arXiv0707.4310OpenAlexW2022853242MaRDI QIDQ958171
Carolina Araujo, Sándor J. Kovács, Stéphane Druel
Publication date: 2 December 2008
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.4310
Related Items
Codimension one Fano distributions on Fano manifolds, Codimension 1 Mukai foliations on complex projective manifolds, Codimension \(1\) foliations with numerically trivial canonical class on singular spaces, Singular foliations with trivial canonical class, Rational curves on complex manifolds, On Fano foliations, Fano foliations with small algebraic ranks, Projective manifolds whose tangent bundle contains a strictly nef subsheaf, CHARACTERIZATION OF PROJECTIVE SPACES AND -BUNDLES AS AMPLE DIVISORS, On codimension 1 del Pezzo foliations on varieties with mild singularities, Twisted cotangent sheaves and a Kobayashi-Ochiai theorem for foliations, Categorical characterization of quadrics, Projective varieties admitting an embedding with Gauss map of rank zero, Strictly nef vector bundles and characterizations of \(\mathbb{P}^n\), Fano manifolds and stability of tangent bundles, On Fano Foliations 2, Characterization of generic projective space bundles and algebraicity of foliations, Identifying quadric bundle structures on complex projective varieties, Recognizing ℙnin Classical and Modern Setting, ALGEBRAIC FOLIATIONS DEFINED BY QUASI-LINES, Bigness of the tangent bundle of del Pezzo surfaces and \(D\)-simplicity, Del Pezzo foliations with log canonical singularities, On projective varieties with strictly nef tangent bundles, Foliations with trivial canonical bundle on Fano 3-folds, Second Chern class of Fano manifolds and anti-canonical geometry
Cites Work
- A cohomological characterization of \({\mathbb{P}}^ n\)
- On covering and quasi-unsplit families of curves
- Projective manifolds with ample tangent bundles
- Compact Kähler manifolds of positive bisectional curvature
- Semistable sheaves on projective varieties and their restriction to curves
- On the cohomology groups of moduli spaces of vector bundles on curves
- Rational curves and ampleness properties of the tangent bundle of algebraic varieties
- Birationality of the tangent map for minimal rational curves
- Orbifolds, special varieties and classification theory.
- Symplectic singularities
- Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1
- Derivations and integral closure
- Rational curves of minimal degree and characterizations of projective spaces
- Characterizations of complex projective spaces and hyperquadrics
- Rational Curves on Foliated Varieties
- Rationally connected foliations after Bogomolov and McQuillan
- Families of singular rational curves
- Families of rationally connected varieties
- Connexité rationnelle des variétés de Fano
- Higher-dimensional algebraic geometry
- On manifolds whose tangent bundle contains an ample subbundle.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item