Mixed Hodges structures on punctured neighborhoods

DOI10.1215/S0012-7094-83-05043-3zbMath0545.14005OpenAlexW2016640785MaRDI QIDQ797646

Alan H. Durfee

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-83-05043-3

zbMATH Keywords

isolated singularitymixed Hodge structureMayer-Vietoris sequence of quasi-projective varietiesmixed Hodge complexes

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Local complex singularities (32S05) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items

Rational homotopy and intersection-formality of complex algebraic varieties, Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures, The de Rham homotopy theory of complex algebraic varieties. I, Hodge numbers of hypersurfaces, Mixed Hodge structure in cyclic homology and algebraic K-theory. I, On Mordell-Weil groups of isotrivial abelian varieties over function fields, Recent results and conjectures on the non abelian Hodge theory of curves, Rational homotopy of complex projective varieties with normal isolated singularities, MULTIVARIABLE HODGE THEORETICAL INVARIANTS OF GERMS OF PLANE CURVES, Albanese varieties of abelian covers, Unnamed Item, Mixed Hodge structures on the homotopy of links, The primitive cohomology of the theta divisor of an abelian fivefold, Massey products in singularity links, Betti numbers of hypersurfaces and defects of linear systems

Cites Work

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• Duality of mixed Hodge structures of algebraic varieties
• Limits of Hodge structures
• The algebraic topology of smooth algebraic varieties
• The monodromy of a degenerating family of curves
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Mixed Hodge Structures