Characterization of generic projective space bundles and algebraicity of foliations
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Publication:2301921
DOI10.4171/CMH/475zbMath1451.14149arXiv1711.10174OpenAlexW2996335131MaRDI QIDQ2301921
Carolina Araujo, Stéphane Druel
Publication date: 25 February 2020
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.10174
Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Dynamical aspects of holomorphic foliations and vector fields (37F75) Rationally connected varieties (14M22)
Related Items
Codimension \(1\) foliations with numerically trivial canonical class on singular spaces, Fano foliations with small algebraic ranks, Toward classification of codimension 1 foliations on threefolds of general type, Twisted cotangent bundle of hyperkähler manifolds (with an appendix by Simone Diverio), MMP for co-rank one foliations on threefolds, Del Pezzo foliations with log canonical singularities, Manifolds with two projective bundle structures
Cites Work
- Unnamed Item
- On Fano foliations
- On codimension 1 del Pezzo foliations on varieties with mild singularities
- Twisted cotangent sheaves and a Kobayashi-Ochiai theorem for foliations
- Characterization of the projective space
- Orbifold generic semi-positivity: an application to families of canonically polarized manifolds
- Cohomological characterizations of projective spaces and hyperquadrics
- Stable reflexive sheaves
- Singular foliations with trivial canonical class
- A decomposition theorem for singular spaces with trivial canonical class of dimension at most five
- Algebraic leaves of algebraic foliations over number fields.
- Irreducible components of the space of holomorphic foliations of degree two in \(\mathbb{C} P(n)\), \(n\geq 3\)
- Codimension 1 Mukai foliations on complex projective manifolds
- Foliations with positive slopes and birational stability of orbifold cotangent bundles
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Characterizations of complex projective spaces and hyperquadrics
- Movable Curves and Semistable Sheaves
- On Fano Foliations 2
- Rational Curves on Foliated Varieties
- Foliations with trivial canonical bundle on Fano 3-folds
- On a conjecture of Beltrametti and Sommese
- Geometric stability of the cotangent bundle and the universal cover of a projective manifold
- The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
- On foliations with nef anti-canonical bundle