Mixed Hodge Structures Applied to Singularities
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Publication:5050036
DOI10.1007/978-3-030-95760-5_9zbMath1504.32080OpenAlexW4285176716MaRDI QIDQ5050036
Publication date: 15 November 2022
Published in: Handbook of Geometry and Topology of Singularities III (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-95760-5_9
Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Local complex singularities (32S05) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)
Cites Work
- Singularités des systèmes différentiels de Gauss-Manin. Avec des contributions de Lo Kam Chan, Philippe Maisonobe et Jean-Etienne Rombaldi
- Sur le théorème local des cycles invariants. (On the local invariant cycle theorem)
- Toroidal embeddings. I
- Asymptotic integrals and Hodge structures
- Structure de Hodge mixte sur la cohomologie évanescente
- On Steenbrink's conjecture
- Semicontinuity of the singularity spectrum
- On the mixed Hodge structure on the cohomology of the Milnor fibre
- Exponents and Newton polyhedra of isolated hypersurface singularities
- Newton polyhedra and vanishing cohomology
- Hodge properties of Gauss-Manin connectivities
- The complex exponent of a singularity does not change along strata mu=const
- On some problems in singularity theory
- Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
- Limits of Hodge structures
- On the maximally overdetermined system of linear differential equations. I
- Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
- Du Bois invariants of isolated complete intersection singularities
- Variation of Hodge structure: The singularities of the period mapping
- On motivic zeta functions and the motivic nearby fiber
- On holonomic systems of microdifferential equations. III: Systems with regular singularities
- Arc spaces and Alexander invariants
- Spectral Hirzebruch-Milnor classes of singular hypersurfaces
- Real Seifert forms and polarizing forms of Steenbrink mixed Hodge structures
- Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink
- \(O(n)\)-manifolds, exotic spheres, and singularities
- Monodromy of isolated singularities of hypersurfaces
- On the periods of certain rational integrals. I, II
- Théorie de Hodge. II. (Hodge theory. II)
- Théorie de Hodge. III
- Equations différentielles à points singuliers réguliers
- Motivic Milnor Fibre for Nondegenerate Function Germs on Toric Singularities
- HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
- Log canonical singularities are Du Bois
- A Simple Characterization of Du Bois Singularities
- Complexe de de Rham filtré d'une variété singulière
- Intégrales asymptotiques et monodromie
- The universal Euler characteristic for varieties of characteristic zero
- Thom–Sebastiani Theorems for Filtered 𝒟-Modules and for Multiplier Ideals
- Bernoulli moments of spectral numbers and Hodge numbers<
- Mixed Hodge Structures
- Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
- On Huh’s conjectures for the polar degree
- Mixed Hodge modules
- Mixed Hodge modules
- On the De Rham cohomology of algebraic varieties
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