scientific article

zbMath0428.32017MaRDI QIDQ3864800

J. H. M. Steenbrink

Publication date: 1981

Full work available at URL: http://www.numdam.org/item?id=CM_1980__42_3_315_0

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zbMATH Keywords

insignificant limit singularitieslimit Hodge structurecohomologically insignificant degeneration

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Analytic sheaves and cohomology groups (32C35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Complex singularities (32Sxx)

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On Kodaira Vanishing for Singular Varieties, Remarks on degenerations of hyper-Kähler manifolds, Singularities of generic projection hypersurfaces, Local cohomology of Du Bois singularities and applications to families, Characteristic classes of complex hypersurfaces, Unnamed Item, The canonical sheaf of Du Bois singularities, The moduli space of cubic fourfolds via the period map, Hodge theory of degenerations. I: Consequences of the decomposition theorem, Unnamed Item, Gorenstein stable surfaces with $K_X^2 = 2$ and $\chi(\mathcal O_X) = 4$, On isolated Gorenstein singularities

Cites Work

• Unnamed Item
• Insignificant limit singularities of surfaces and their mixed Hodge structure
• Limits of Hodge structures
• Variation of Hodge structure: The singularities of the period mapping
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III