On the topology of a resolution of isolated singularities, II

DOI10.5427/jsing.2020.20ezbMath1439.14017arXiv2001.02266OpenAlexW4255205797MaRDI QIDQ5220354

Vincenzo Di Gennaro, Davide Franco

Publication date: 16 March 2020

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02266

zbMATH Keywords

resolution of singularitiesintersection cohomologydecomposition theoremisolated singularitiesmixed Hodge theoryprojective varietiesHodge-Riemann bilinear relationssimple normal crossing divisors, derived category

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Hodge theory in global analysis (58A14) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Global theory of complex singularities; cohomological properties (32S20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Topological properties of mappings on manifolds (58K15) Topological properties in algebraic geometry (14F45) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Related Items (3)

An effective decomposition theorem for Schubert varieties ⋮ Intersection Cohomology and Severi Varieties ⋮ Polynomial identities related to special Schubert varieties

Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Decomposition theorem for proper Kähler morphisms
• Sheaves in topology
• The decomposition theorem, perverse sheaves and the topology of algebraic maps
• On the topology of a resolution of isolated singularities
• Mixed Hodge Structures
• Mixed Hodge modules
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