Modules de Hodge polarisables. (Polarisable Hodge modules)
From MaRDI portal
Publication:582341
DOI10.2977/prims/1195173930zbMath0691.14007OpenAlexW2102363768MaRDI QIDQ582341
Publication date: 1988
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1195173930
Sheaves of differential operators and their modules, (D)-modules (32C38) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) de Rham cohomology and algebraic geometry (14F40) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)
Related Items
\(D\)-modules generated by rational powers of holomorphic functions, Associated graded of Hodge modules and categorical \(\mathfrak{sl}_2\) actions, Singularities of admissible normal functions (with an appendix by Najmuddin Fakhruddin), Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces, Hodge ideals of free divisors, On the Enright functor in the highest weight category, Rational homotopy and intersection-formality of complex algebraic varieties, Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures, On the derived categories of mixed Hodge modules, On the structure of Brieskorn lattice, The Hodge structures on the intersection homology of varieties with isolated singularities, Hodge ideals and spectrum of isolated hypersurface singularities, On an elliptic analogue of Zagier's conjecture, Vanishing and injectivity for Hodge modules and \(\mathbb{R}\)-divisors, Intermediate extension of Chow motives of abelian type, Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms, Deformed dimensional reduction, Multiplier ideals, \(v\)-filtrations and transversal sections, Monodromy at infinity and Fourier transform. II, The global moduli theory of symplectic varieties, CM periods, CM regulators and hypergeometric functions. II, A twistor approach to the Kontsevich complexes, Signs in weight spectral sequences, monodromy-weight conjectures, log Hodge symmetry and degeneration of surfaces, Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials, Spectral Hirzebruch-Milnor classes of singular hypersurfaces, Hirzebruch-Milnor classes of complete intersections, Monodromy Jordan blocks, \(b\)-functions and poles of zeta functions for germs of plane curves, Logarithmic comparison with smooth boundary divisor in mixed Hodge modules, Spectrum and multiplier ideals of arbitrary subvarieties, Twisted genera of symmetric products, A variant of Néron models over curves, Differential complexes and stratified pro-modules, Complex analytic Néron models for arbitrary families of intermediate Jacobians, Positivity for quantum cluster algebras, Hyperplane sections for simple singularities and examples of variations of Hodge structures, Logarithmic Kodaira dimension and zeros of holomorphic log-one-forms, Motivic degree zero Donaldson-Thomas invariants, Local duality and polarized Hodge modules, Mixed Hodge modules of normal crossing type, Decomposition theorem for proper Kähler morphisms, On the length of perverse sheaves on hyperplane arrangements, Perverse sheaves on semi-abelian varieties -- a survey of properties and applications, Heights for local systems on curves, Duality of Gauß-Manin systems associated to linear free divisors, Isospectral commuting variety, the Harish-Chandra \(\mathcal D\)-module, and principal nilpotent pairs, Residues and filtered \(D\)-modules, Gysin restriction of topological and Hodge-theoretic characteristic classes for singular spaces, Characteristic classes of complex hypersurfaces, Semi-stable reduction and decomposition of de Rham complexes with coefficients, Algorithms for computing multiplier ideals, Symmetric products of mixed Hodge modules, On Steenbrink's conjecture, Duality for vanishing cycle functors, Hodge polynomials of singular hypersurfaces, A remark on braid group actions on coherent sheaves, Hamiltonian reduction and nearby cycles for mirabolic \(\mathcal{D}\)-modules, \(\mathcal D\)-modules on analytic spaces, Hodge ideals for the determinant hypersurface, Dependence of Lyubeznik numbers of cones of projective schemes on projective embeddings, From the decomposition theorem to local purity, Residues and differential operators on schemes, Motivic exponential integrals and a motivic Thom-Sebastiani theorem, Topological and Hodge L-classes of singular covering spaces and varieties with trivial canonical class, Perverse obstructions to flat regular compactifications, Koszul duality for quasi-split real groups, Wild ramification, nearby cycle complexes, and characteristic cycles of \(\ell\)-adic sheaves, Indecomposable cycles and arithmetic normal functions, Hodge filtration, minimal exponent, and local vanishing, From local purity to decomposition, Weight-monodromy conjecture for \(p\)-adically uniformized varieties, Some consequences of perversity of vanishing cycles., Local-global compatibility and the action of monodromy on nearby cycles, Algebraic aspects of hypergeometric differential equations, The Leray spectral sequence is motivic, Witt groups of abelian categories and perverse sheaves, Perverse sheaves on semi-abelian varieties, Motives associated to graphs, On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in \(\mathbf{P}^n\), Hodge genera of algebraic varieties. II, Hodge theory of degenerations. I: Consequences of the decomposition theorem, The kernel spectral sequence of vanishing cycles, Sur le théorème local des cycles invariants. (On the local invariant cycle theorem), An exotic Deligne-Langlands correspondence for symplectic groups., Artin motives, weights, and motivic nearby sheaves, On a twisted de Rham complex, On the Hodge theory of the additive middle convolution, Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras, Weighted multiplier ideals of reduced divisors, Hodge cycles and the Leray filtration, Spectral triples in Arakelov geometry, Mixed Hodge complexes on algebraic varieties and \(t\)-structures, On Euler-Poincaré characteristics, On \(b\)-function, spectrum and rational singularity, Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces, On the injectivity of cycle maps, Spectral sequence of weights in Hyodo-Kato cohomology, Holonomic \(D\)-modules on abelian varieties, Support theorems for algebraic maps, Torsion freeness of higher direct images of canonical bundles, The stable cohomology of the Satake compactification of \(\mathcal A_g\), \(L^2\)-extension of adjoint bundles and Kollár's conjecture, Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023, Hodge numbers of motives attached to Kloosterman and Airy moments, \(L^2\)-Dolbeault resolution of the lowest Hodge piece of a Hodge module, Unnamed Item, Hirzebruch–Milnor Classes and Steenbrink Spectra of Certain Projective Hypersurfaces, Spectral pairs, Alexander modules, and boundary manifolds, Characteristic classes of symmetric products of complex quasi-projective varieties, Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension, Relative Chow–Künneth decompositions for morphisms of threefolds, Lowest weights in cohomology of variations of Hodge structure, On derived categories of differential complexes, Constructible Sheaf Complexes in Complex Geometry and Applications, Unnamed Item, Purity for graded potentials and quantum cluster positivity, Perverse Leray filtration and specialisation with applications to the Hitchin morphism, Perverse, Hodge and motivic realizations of étale motives, Genera of algebraic varieties and counting of lattice points, Non-commutative Hodge structures, \(E_1\)-degeneration of the irregular Hodge filtration, Johnson homomorphisms, Period mapping via Brieskorn modules, Brown's moduli spaces of curves and the gravity operad, On microlocal $b$-function, Induced ${\cal D}$-modules and differential complexes, SINGULARITIES OF THE BIEXTENSION METRIC FOR FAMILIES OF ABELIAN VARIETIES, Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic \(p>0\) and log weak Lefschetz conjecture for log crystalline cohomologies, Symmetries and stabilization for sheaves of vanishing cycles, Vanishing theorems for perverse sheaves on abelian varieties, revisited, Hodge theory of Kloosterman connections, Unnamed Item, A description of monodromic mixed Hodge modules, On the L2 cohomology of complex spaces II, On the Chern numbers of a smooth threefold, Microlocalisation of $\cal{D}$-modules along a submanifold, Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials, The Du Bois complex of a hypersurface and the minimal exponent, Isotriviality of smooth families of varieties of general type, Higher Du Bois singularities of hypersurfaces, Applications of the algebraic geometry of the Putman–Wieland conjecture, Hodge modules and singular Hermitian metrics, Minimal exponents of hyperplane sections: a conjecture of Teissier, An algorithm for Hodge ideals, Motivic random variables and representation stability. II: Hypersurface sections, Quasi-projectivity of images of mixed period maps, Hodge ideals for \(\mathbf{Q}\)-divisors: birational approach, Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration, On V-filtration, Hodge filtration and Fourier transform, De Rham comparison and Poincaré duality for rigid varieties, Topological calculation of local cohomological dimension, HODGE IDEALS FOR -DIVISORS, -FILTRATION, AND MINIMAL EXPONENT, Cohomology of semisimple local systems and the decomposition theorem, Weighted Hodge ideals of reduced divisors, Hodge properties of Airy moments, Singularities. Abstracts from the workshop held September 26 -- October 2, 2021 (hybrid meeting), Vanishing and injectivity theorems for Hodge modules, On period maps that are open embeddings, Fourier-Laplace transform of a variation of polarized complex Hodge structure, On the explicit calculation of Hirzebruch–Milnor classes of certain low dimensional hyperplane arrangements and some combinatorics, Analytic Log Picard Varieties, Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations, Monodromy of a family of hypersurfaces containing a given subvariety, Kodaira dimension and zeros of holomorphic one-forms, NOTES ON VANISHING CYCLES AND APPLICATIONS, Topics of motivic characteristic classes, Comparison isomorphisms for smooth formal schemes, The \(\mathcal{D}\)-module associated with the complex of neighbouring cycles and its \(p\)-adic variants, Mixed Hodge modules, HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES, Polylogarithm for families of commutative group schemes, Mixed Hodge modules, Regular functions transversal at infinity, Number of Jordan blocks of the maximal size for local monodromies, Polarizations on limiting mixed Hodge structures, Recovery of vanishing cycles by log geometry, Residue forms on singular hypersurfaces, Hodge Decompositions and Dolbeault Complexes on Normal Surfaces, Multiplier ideals, 𝑉-filtration, and spectrum, Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink, Unnamed Item, Unnamed Item, Good reduction criterion for \(K3\) surfaces, Motivic weightless complex and the relative Artin motive, Très bonnes bases du réseau de Brieskorn d'un polynôme modéré, The Hodge theory of algebraic maps, Hodge Ideals, On the topology of a resolution of isolated singularities, II, Motivic zeta functions for prehomogeneous vector spaces and castling transformations, The decomposition theorem, perverse sheaves and the topology of algebraic maps, On ‘maximal’ poles of zeta functions, roots ofb-functions, and monodromy Jordan blocks, Unnamed Item, ${\cal D}$-modules arithmétiques. II: Descente par Frobenius, Dualité locale et holonomie pour les ${\cal D}$-modules arithmétiques, GENERIC VANISHING THEORY VIA MIXED HODGE MODULES, Springer correspondence for the split symmetric pair in type, ON THE IRREGULAR HODGE FILTRATION OF EXPONENTIALLY TWISTED MIXED HODGE MODULES, IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS, Extending holomorphic forms from the regular locus of a complex space to a resolution of singularities, Vanishing theorems for constructible sheaves on abelian varieties, Behaviour of some Hodge invariants by middle convolution, Logarithmic Riemann–Hilbert correspondences for rigid varieties, Motivic Euler Products and Motivic Height Zeta Functions, Hodge modules on complex tori and generic vanishing for compact Kähler manifolds
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
- Théoremes de bidualité locale pour les \(D_ x\)-modules holonomes
- Hodge theory with degenerating coefficients: \(L_2\) cohomology in the Poincaré metric
- On the maximally overdetermined system of linear differential equations. I
- Degeneration of Kähler manifolds
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
- Dualité relative en géométrie analytique complexe
- Ein einfacher Beweis des Kohärenzsatzes von Grauert. (A simple proof of Grauert's coherence theorem)
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- The Integrability of the Characteristic Variety
- Higher algebraic K-theory: I