Reflexive differential forms on singular spaces. Geometry and cohomology

DOI10.1515/crelle-2012-0097zbMath1314.32014arXiv1202.3243OpenAlexW3101546895WikidataQ115236892 ScholiaQ115236892MaRDI QIDQ479913

Daniel Greb, Stefan Kebekus, Thomas Peternell

Publication date: 5 December 2014

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3243

zbMATH Keywords

vanishing theoremsHodge theorysingularities of the minimal model programholomorphic pluri-formsnormal complex spacesreflexive differential forms

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Global theory of complex singularities; cohomological properties (32S20) Normal analytic spaces (32C20) Minimal model program (Mori theory, extremal rays) (14E30) Local complex singularities (32S05)

Related Items (8)

Rationally connected varieties -- on a conjecture of Mumford ⋮ On generic nefness of tangent sheaves ⋮ A weak version of the Lipman-Zariski conjecture ⋮ Singular rationally connected surfaces with nonzero pluri-forms ⋮ Étale fundamental groups of Kawamata log terminal spaces, flat sheaves, and quotients of abelian varieties ⋮ \(\mathrm{klt}\) varieties with trivial canonical class: holonomy, differential forms, and fundamental groups ⋮ Unnamed Item ⋮ On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties

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