Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities

DOI10.1090/jams/962zbMath1479.14006arXiv1811.03644OpenAlexW3078343380MaRDI QIDQ5013548

Stefan Kebekus, Christian Schnell

Publication date: 1 December 2021

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

Full work available at URL: https://arxiv.org/abs/1811.03644

zbMATH Keywords

decomposition theoremcomplex spacerational singularitiesextension theoremholomorphic formpull-backmixed Hodge module

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory of complex singularities; cohomological properties (32S20) Local cohomology and algebraic geometry (14B15)

Related Items

Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension, Algebraic approximation and the decomposition theorem for Kähler Calabi-Yau varieties, The global moduli theory of symplectic varieties, Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups, The Du Bois complex of a hypersurface and the minimal exponent, Weighted Hodge ideals of reduced divisors, Adapted differentials as a qfh-sheaf, Hodge filtration, minimal exponent, and local vanishing, Global Torelli theorem for irreducible symplectic orbifolds, Projectively flat klt varieties, Weighted multiplier ideals of reduced divisors, The Kodaira Problem for Kähler Spaces with Vanishing First Chern Class, On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties, Differential forms on log canonical spaces in positive characteristic

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