The Zariski-Lipman conjecture for log canonical spaces

DOI10.1112/blms/bdu040zbMath1357.14009arXiv1301.5910OpenAlexW2044607131WikidataQ122923259 ScholiaQ122923259MaRDI QIDQ5495353

Stéphane Druel

Publication date: 4 August 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5910

zbMATH Keywords

singularitiesanalytic algebrassingularities of holomorphic vector fields and foliations

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of holomorphic vector fields and foliations (32S65) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items

Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor ⋮ The Zariski-Lipman conjecture for toric varieties ⋮ Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups ⋮ Finite quotients of three-dimensional complex tori ⋮ A weak version of the Lipman-Zariski conjecture ⋮ Steenbrink vanishing extended ⋮ On the Lipman-Zariski conjecture for logarithmic vector fields on log canonical pairs ⋮ Projectively flat klt varieties ⋮ Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties ⋮ The generalized Lipman-Zariski problem ⋮ Numerical characterization of some toric fiber bundles

Cites Work

• On Fano foliations
• The Zariski-Lipman conjecture for complete intersections
• Differential forms on log canonical spaces
• Families of canonically polarized varieties over surfaces
• Extendability of holomorphic differential forms near isolated hypersurface singularities
• Extendability of differential forms on non-isolated singularities
• Invariant varieties through singularities of holomorphic vector fields
• The adjunction theory of complex projective varieties
• Differentielle Eigenschaften der Lokalisierungen analytischer Algebren. (Differential properties of localizations of analytic algebras)
• Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
• Shorter Notes: The Zariski-Lipman Conjecture for Homogeneous Complete Intersections
• Indices of Holomorphic Vector Fields Relative to Invariant Curves on Surfaces
• Free Derivation Modules on Algebraic Varieties
• Introduction to the Mori program

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