Support theorems for algebraic maps

DOI10.1007/s00032-015-0237-yzbMath1349.14036OpenAlexW1985223624MaRDI QIDQ2355337

Luca Migliorini

Publication date: 22 July 2015

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-015-0237-y

zbMATH Keywords

intersection cohomologystratification theorylocal Euler obstruction

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Topological properties in algebraic geometry (14F45)

Related Items

Nakajima's quiver varieties and triangular bases of rank-2 cluster algebras, A support theorem for the Hitchin fibration: the case of \(\operatorname{GL}_n\) and \(K_C\), Supports for linear degenerations of flag varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology of sheaves
• A support theorem for Hilbert schemes of planar curves
• Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)
• The projectors of the decomposition theorem are motivated
• Stable bundles and integrable systems
• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Equidistribution in \(\operatorname{Bun}_2(\mathbb{P}^1)\)
• Macdonald formula for curves with planar singularities
• Intersection homology. II
• Decomposition theorem for proper Kähler morphisms
• The development of intersection homology theory
• The perverse filtration and the Lefschetz hyperplane theorem
• The fundamental lemma for Lie algebras
• Intersection homology theory
• Chern classes for singular algebraic varieties
• Real homotopy theory of Kähler manifolds
• Stratifications de Whitney et théorème de Bertini-Sard
• Euler obstruction and indices of vector fields
• The Chow motive of semismall resolutions
• The weighted fundamental lemma. II: Cohomological statements
• Combinatorics and topology of proper toric maps
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Catégories dérivées et dualité, travaux de J.-L. Verdier. (Derived categories and duality, papers of J.-L. Verdier)
• The Hodge theory of algebraic maps
• Hodge-theoretic aspects of the Decomposition Theorem
• The decomposition theorem, perverse sheaves and the topology of algebraic maps
• The Hard Lefschetz Theorem and the topology of semismall maps
• Mixed Hodge modules