NOTES ON VANISHING CYCLES AND APPLICATIONS
DOI10.1017/S1446788720000403zbMath1451.14005OpenAlexW3096700062MaRDI QIDQ5140659
Publication date: 16 December 2020
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446788720000403
vanishing cyclescharacteristic classesMilnor fibrationperverse sheaveshypersurface singularitiesnearby cycles
Singularities in algebraic geometry (14B05) Complex surface and hypersurface singularities (32S25) Global theory of complex singularities; cohomological properties (32S20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Global theory of singularities (58K30) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50) Deformations of singularities (14B07)
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Cites Work
- Natural commuting of vanishing cycles and the Verdier dual
- Hirzebruch-Milnor classes of complete intersections
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- Fifteen characterizations of rational double points and simple critical points
- Construction of universal bundles. II
- On isolated Gorenstein singularities
- \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi
- Decomposition theorem for proper Kähler morphisms
- On Steenbrink's conjecture
- Donaldson-Thomas type invariants via microlocal geometry
- The Riemann-Hilbert problem for holonomic systems
- On the mixed Hodge structure on the cohomology of the Milnor fibre
- Canonical classes on singular varieties
- Singularities and topology of hypersurfaces
- Chern classes for singular algebraic varieties
- Sheaves in topology
- Gopakumar-Vafa invariants via vanishing cycles
- Vanishing homology of projective hypersurfaces with 1-dimensional singularities
- Some consequences of perversity of vanishing cycles.
- La conjecture de Weil. I
- Characteristic classes of complex hypersurfaces
- Motivic exponential integrals and a motivic Thom-Sebastiani theorem
- Critical points of functions on singular spaces
- Spectral Hirzebruch-Milnor classes of singular hypersurfaces
- Defect of Euclidean distance degree
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- Beispiele zur Differentialtopologie von Singularitäten
- Un résultat sur la monodromie. (A result on the monodromy)
- On the homotopy types of hypersurfaces defined by weighted homogeneous polynomials
- Groups of homotopy spheres. I
- Symmetries and stabilization for sheaves of vanishing cycles
- Cohomological Donaldson-Thomas theory
- HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
- ASYMPTOTIC HODGE STRUCTURE IN THE VANISHING COHOMOLOGY
- Motivic realizations of singularity categories and vanishing cycles
- An introduction to affine Grassmannians and the geometric Satake equivalence
- Multiplier ideals, 𝑉-filtration, and spectrum
- On the Picard-Lefschetz Transformation for Algebraic Manifolds Acquiring General Singularities
- Thom–Sebastiani Theorems for Filtered 𝒟-Modules and for Multiplier Ideals
- Notes on Beilinson's "How to glue perverse sheaves"
- Intersection Homology & Perverse Sheaves
- Euclidean Distance Degree of the Multiview Variety
- On motivic vanishing cycles of critical loci
- Vanishing cycle sheaves of one-parameter smoothings and quasi-semistable degenerations
- Number of Jordan blocks of the maximal size for local monodromies
- Singular Points of Complex Hypersurfaces. (AM-61)
- Mixed Hodge modules
- Construction of central elements in the affine Hecke algebra via nearby cycles
- The Euclidean distance degree of an algebraic variety
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