On the Lipman-Zariski conjecture for logarithmic vector fields on log canonical pairs

DOI10.5802/aif.3366zbMath1469.14006arXiv1712.04052OpenAlexW3155629615WikidataQ113689237 ScholiaQ113689237MaRDI QIDQ2034721

Hannah Bergner

Publication date: 22 June 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.04052

zbMATH Keywords

logarithmic vector fieldsLipman-Zariski conjecturetoroidal varietieslogarithmic 1-forms

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Complex Lie groups, group actions on complex spaces (32M05) Local complex singularities (32S05) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Cites Work

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• An optimal extension theorem for 1-forms and the Lipman-Zariski conjecture
• A weak version of the Lipman-Zariski conjecture
• Differential forms on log canonical spaces
• Geometric invariant theory on Stein spaces
• Complex analytic geometry
• Reductive group actions on Stein spaces
• On manifolds with trivial logarithmic tangent bundle
• Characterizing normal crossing hypersurfaces
• Bogomolov-Sommese vanishing on log canonical pairs
• Infinitesimale Transformationsgruppen komplexer Räume
• Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
• Normal crossing properties of complex hypersurfaces via logarithmic residues
• Lectures on Resolution of Singularities (AM-166)
• Extension theorems for differential forms and Bogomolov–Sommese vanishing on log canonical varieties
• Singularities of Pairs
• Introduction
• Potentially Du Bois spaces
• Semistability of the tangent sheaf of singular varieties
• The Zariski-Lipman conjecture for log canonical spaces
• Free Derivation Modules on Algebraic Varieties

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