The Hodge theory of algebraic maps
From MaRDI portal
Publication:3375318
DOI10.1016/j.ansens.2005.07.001zbMath1094.14005arXivmath/0306030OpenAlexW2052724110MaRDI QIDQ3375318
Luca Migliorini, Mark Andrea A. De Cataldo
Publication date: 8 March 2006
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0306030
Fibrations, degenerations in algebraic geometry (14D06) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
Related Items
Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory, Two coniveau filtrations, Schubert calculus and torsion explosion, The Hodge theory of the Hecke category, Intersection forms of toric hyperkähler varieties, Constructible Sheaf Complexes in Complex Geometry and Applications, P=W conjectures for character varieties with symplectic resolution, Perverse Leray filtration and specialisation with applications to the Hitchin morphism, Parity sheaves, Local Hodge theory of Soergel bimodules, The intersection cohomology of the Satake compactification of \(\mathcal {A}_g\) for \(g \leq 4\), Modular intersection cohomology complexes on flag varieties, Local \(h\)-polynomials, invariants of subdivisions, and mixed Ehrhart theory, An effective decomposition theorem for Schubert varieties, Perverse filtrations, Chern filtrations, and refined BPS invariants for local \(\mathbb{P}^2\), INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS, Cohomological -dependence of ring structure for the moduli of one-dimensional sheaves on, Cohomology of semisimple local systems and the decomposition theorem, LOCAL VANISHING AND HODGE FILTRATION FOR RATIONAL SINGULARITIES, Intersection Cohomology and Severi Varieties, Working session: Geometric representation theory. Abstracts from the working session held April 3--9, 2022, A remark on Barth's connectivity theorem, Polynomial identities related to special Schubert varieties, Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\), The perverse filtration and the Lefschetz hyperplane theorem, II, The Hodge theory of Soergel bimodules., On torsion in the intersection cohomology of Schubert varieties, BPS states, torus links and wild character varieties, Multiplicativity of perverse filtration for Hilbert schemes of fibered surfaces, Correspondences and singular varieties, The perverse filtration and the Lefschetz hyperplane theorem, A lower bound for composition multiplicities for the Springer resolution, Witt groups of abelian categories and perverse sheaves, Relative hard Lefschetz for Soergel bimodules, The Hodge theory of algebraic maps, Hodge theory of degenerations. I: Consequences of the decomposition theorem, Endoscopic decompositions and the Hausel–Thaddeus conjecture, On the hard Lefschetz property of stringy Hodge numbers, Topological mirror symmetry for rank two character varieties of surface groups, Explicit decomposition theorem for special Schubert varieties, On singularities of primitive cohomology classes, On a resolution of singularities with two strata, The decomposition theorem, perverse sheaves and the topology of algebraic maps, Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds, Arithmetic and representation theory of wild character varieties, GENERIC VANISHING THEORY VIA MIXED HODGE MODULES, A generalization of Beilinson's geometric height pairing, Biomolecular topology: modelling and analysis, On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties, Hitchin fibrations, abelian surfaces, and the P=W conjecture, Lagrangian fibrations, Support theorems for algebraic maps
Cites Work
- Cohomology of sheaves
- Variation of mixed Hodge structure. I
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- Sur le théorème local des cycles invariants. (On the local invariant cycle theorem)
- Intersection homology. II
- Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983)
- Decomposition theorem for proper Kähler morphisms
- \(L^ 2\) and intersection cohomologies for a polarizable variation of Hodge structure
- The Poincaré lemma for variations of polarized Hodge structure
- La conjecture de Weil. II
- Limits of Hodge structures
- Degeneration of Kähler manifolds
- Submanifolds of Abelian varieties
- Sheaves in topology
- Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure.
- The Chow motive of semismall resolutions
- Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
- Théorie de Hodge. II. (Hodge theory. II)
- Théorie de Hodge. III
- Théorie de Hodge des cycles évanescents
- The Hodge theory of algebraic maps
- Asymptotic behaviour of tame harmonic bundles and an application to pure twistor 𝐷-modules. I
- The Hard Lefschetz Theorem and the topology of semismall maps
- Mixed Hodge modules
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item