An optimal extension theorem for 1-forms and the Lipman-Zariski conjecture

zbMath1310.14008arXiv1301.7315MaRDI QIDQ462617

Sándor J. Kovács, Patrick Graf

Publication date: 21 October 2014

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7315

zbMATH Keywords

reflexive sheavesdifferential formscanonical pairsLipman-Zariski conjecturelog resolutionssingularities of the minimal model program

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Minimal model program (Mori theory, extremal rays) (14E30) Local complex singularities (32S05) Regular local rings (13H05)

Related Items (15)

The violation of the Lipman-Zariski conjecture in positive characteristic ⋮ The Zariski-Lipman conjecture for toric varieties ⋮ Varieties with ample tangent sheaves ⋮ Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups ⋮ Finite quotients of three-dimensional complex tori ⋮ THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER ⋮ Steenbrink vanishing extended ⋮ On the Lipman-Zariski conjecture for logarithmic vector fields on log canonical pairs ⋮ A note on Flenner's extension theorem ⋮ Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles ⋮ The Kodaira Problem for Kähler Spaces with Vanishing First Chern Class ⋮ Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities ⋮ Differential forms on log canonical spaces in positive characteristic ⋮ The generalized Lipman-Zariski problem ⋮ Numerical characterization of some toric fiber bundles

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