DEFORMATION OF SINGULARITIES AND THE HOMOLOGY OF INTERSECTION SPACES

DOI10.1142/S1793525312500185zbMath1269.32017arXiv1101.4883OpenAlexW2117352216MaRDI QIDQ4908231

Markus Banagl, Laurenţiu Maxim

Publication date: 5 March 2013

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4883

zbMATH Keywords

Poincaré dualityMilnor fibrationmixed Hodge structuresintersection homologyprojective hypersurfacessmoothings

Mathematics Subject Classification ID

Deformations of complex singularities; vanishing cycles (32S30) Mirror symmetry (algebro-geometric aspects) (14J33) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (8)

A short note on simplicial stratifications ⋮ Intersection space constructible complexes ⋮ Algebraic intersection spaces ⋮ Imploded cross-sections ⋮ A fundamental class for intersection spaces of depth one Witt spaces ⋮ Intersection space cohomology of three-strata pseudomanifolds ⋮ Hodge theory for intersection space cohomology ⋮ On the GAGA principle for algebraic affine hypersurfaces

Cites Work

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• Limits of Hodge structures
• Variation of Hodge structure: The singularities of the period mapping
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• A perverse sheaf approach toward a cohomology theory for string theory
• Characteristic classes of complex hypersurfaces
• Homological type of geometric transitions
• Geometric transitions
• On a Stringy Singular Cohomology
• Euler characteristics of algebraic varieties
• Singular Points of Complex Hypersurfaces. (AM-61)

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