A decomposition theorem for singular spaces with trivial canonical class of dimension at most five
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Publication:1692199
DOI10.1007/s00222-017-0748-yzbMath1419.14063arXiv1606.09006OpenAlexW2963985505MaRDI QIDQ1692199
Publication date: 26 January 2018
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.09006
Singularities of surfaces or higher-dimensional varieties (14J17) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Minimal model program (Mori theory, extremal rays) (14E30) Analytic spaces (32C99) Dynamical aspects of holomorphic foliations and vector fields (37F75)
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Cites Work
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- On the S-fundamental group scheme
- On codimension 1 del Pezzo foliations on varieties with mild singularities
- The cones of effective cycles on projective bundles over curves
- Differential forms on log canonical spaces
- Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties
- Variétés kähleriennes dont la première classe de Chern est nulle
- Asymptotic invariants of base loci
- Holonomy groups of stable vector bundles
- Flops connect minimal models
- Stable reflexive sheaves
- The first Chern class and holomorphic symmetric tensor fields
- Rationalité des singularités canoniques
- Pulling back bundles
- Higgs bundles and local systems
- Semi-stability and reduction \(\bmod p\)
- Singular foliations with trivial canonical class
- Algebraic leaves of algebraic foliations over number fields.
- Zariski-decomposition and abundance
- Semistable sheaves in positive characteristic
- On a positive equicharacteristic variant of the \(p\)-curvature conjecture
- Foliations with vanishing Chern classes
- 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. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Stable and unitary vector bundles on a compact Riemann surface
- Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
- Éléments de géométrie algébrique. III: Étude cohomologique des faisceaux cohérents. (Séconde partie). Rédigé avec la colloboration de J. Dieudonné
- Movable Curves and Semistable Sheaves
- Rational Curves on Foliated Varieties
- On positivity and semistability of vector bundles in finite and mixed characteristics
- Some Basic Results on Actions of Nonaffine Algebraic Groups
- Complex Analytic Connections in Fibre Bundles
- Lectures on Resolution of Singularities (AM-166)
- Characteristic foliation on a hypersurface of general type in a projective symplectic manifold
- Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
- Existence of minimal models for varieties of log general type
- Minimal models and the Kodaira dimension of algebraic fiber spaces.
- Singularities of Pairs
- On the existence of hermitian-yang-mills connections in stable vector bundles
- The pseudo-effective cone of a compact Kähler manifold and varieties of negative Kodaira dimension
- Singular spaces with trivial canonical class
- On foliations with nef anti-canonical bundle