Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten

DOI10.1007/BF01352108zbMath0285.14002OpenAlexW2912836440MaRDI QIDQ1844879

Gert-Martin Greuel

Publication date: 1975

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162693

Mathematics Subject Classification ID

Complete intersections (14M10) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Germs of analytic sets, local parametrization (32B10) Complex singularities (32Sxx)

Related Items

Quadratic forms for a 1-form on an isolated complete intersection singularity, On the number of generators of the torsion module of differentials, \(D\)-modules generated by rational powers of holomorphic functions, A new deterministic method for computing Milnor number of an ICIS, A generalization of Milnor's formula, Mixed Newton numbers and isolated complete intersection singularities, Inner geometry of complex surfaces: a valuative approach, Analytic geometry and semi-classical analysis, A characterization of quasi-homogeneous complete intersection singularities, Invariant of the hypergeometric group associated to the quantum cohomology of the projective space, Life and work of Egbert Brieskorn (1936--2013), Torsion of differentials of hypersurfaces with isolated singularities, The Poincaré index and the χ_y-characteristic of Hirzebruch, Brieskorn and the monodromy, On the Milnor and Tjurina numbers of zero-dimensional singularities, The `corrected Durfee's inequality' for homogeneous complete intersections, Torsion of differentials of affine quasi-homogeneous hypersurfaces, Invariants of hypersurface singularities in positive characteristic, On indices of 1-forms on determinantal singularities, Singularities and group actions, Unnamed Item, A remark on the Chern classes of local complete intersections, Unnamed Item, Singularities of mappings on ICIS and applications to Whitney equisingularity, On the quotient of Milnor and Tjurina numbers for two‐dimensional isolated hypersurface singularities, On a sharp lower bound for the Tjurina number of zero-dimensional complete intersections, The higher Du Bois and higher rational properties for isolated singularities, On equivariant indices of 1-forms on varieties, About relative polar varieties and Brasselet numbers, Thom irregularity and Milnor tube fibrations, Logarithmic differential forms on varieties with singularities, Symplectic singularities of varieties: The method of algebraic restrictions, On the Milnor Formula in Arbitrary Characteristic, Relative logarithmic cohomology and Nambu structures of maximal degree, The Structure of a Critical Set of a Complete Intersection Singularity, Lê-Greuel type formula for the Euler obstruction and applications, A global residue theorem on analytic varieties, On Milnor’s fibration theorem and its offspring after 50 years, Invariants of Hamiltonian flow on locally complete intersections, POLES OF THE CURRENT |f|^2λ OVER AN ISOLATED SINGULARITY, An algebraic formula for the index of a vector field on an isolated complete intersection singularity, The index of differential forms on complete intersections, The Aluffi algebra of hypersurfaces with isolated singularities, A note on isolated singularity, I, Cohomology of regular differential forms for affine curves, Poisson traces, D-modules, and symplectic resolutions, Relative Milnor $K$-groups and differential forms of split nilpotent extensions, Poisson-de Rham homology of hypertoric varieties and nilpotent cones, Durfee-type bound for some non-degenerate complete intersection singularities, Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals, HOMOLOGICAL INDEX FOR 1-FORMS AND A MILNOR NUMBER FOR ISOLATED SINGULARITIES, Degree formulas for a topological invariant of bifurcations of function-germs, The topological index of vector fields at quasihomogeneous complete intersections, Cohomology of regular differential forms for affine curves, Koszul Complexes and Hypersurface Singularities, Zur Längenberechnung der Torsion äußerer Potenzen, Computing regular meromorphic differential forms via Saito's logarithmic residues, On affine complete intersections with isolated singularities., Unnamed Item, Polynômes de Bernstein associés à une fonction sur une intersection complète à singularité isolée. (Bernstein polynomials associated with a function on an isolated complete intersection singularity), A converse to a theorem on normal forms of volume forms with respect to a hypersurface, An algorithm for computing torsion differential forms associated with an isolated hypersurface singularity, Gauss-Manin connections for boundary singularities and isochore deformations, The Milnor-Palamodov theorem for functions on isolated hypersurface singularities, Brasselet number and function-germs with a one-dimensional critical set, Mixed Bruce–Roberts numbers, Unnamed Item, The Multiplicity Polar Theorem and isolated singularities, Logarithmic Vector Fields and the Severi Strata in the Discriminant, Sur les systèmes différentiels relativement spécialisables et l'existence d'équations fonctionnelles relatives, Dualität in der lokalen Kohomologie isolierter Singularitäten, Minorations de nombres de Milnor, Multiplicity of Functions On Singular Varieties, Polynômes de Bernstein-Sato associés à une intersection complète quasi-homogène à singularité isolée, On the Zariski multiplicity conjecture for weighted homogeneous and Newton nondegenerate line singularities, Topological triviality of versal unfoldings of complete intersections, Computer algebra and algebraic geometry -- achievements and perspectives, Koszul Complexes and Pole Order Filtrations, Milnor number of pairs and pencils of plane holomorphic germs, Relative differential forms and complex polynomials, Unnamed Item, The Topology of the Milnor Fibration, Deformation and Smoothing of Singularities, About the Milnor number of a semi-quasi-homogeneous singularity, Families of ICIS with constant total Milnor number, Coherence of Direct Images of the De Rham Complex, Remarks on the Topology of Real and Complex Analytic Map-Germs, Milnor’s Fibration Theorem for Real and Complex Singularities, Inflectionary Invariants for Isolated Complete Intersection Curve Singularities, On the topology of real analytic maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• De Rham cohomology of an analytic space
• Monodromy of isolated singularities of hypersurfaces
• Äußere Potenzen von Differentialmoduln reduzierter vollständiger Durchschnitte
• Preuve d'une conjecture de Brieskorn
• Lokale topologische Eigenschaften komplexer Räume
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Exotische Sphären als Umgebungsränder in speziellen komplexen Räumen
• Equations différentielles à points singuliers réguliers
• Riemannsche Hebbarkeitssätze für Cohomologieklassen
• Sur la division de formes et de courants par une forme linéaire
• Intégrales asymptotiques et monodromie
• Singular Points of Complex Hypersurfaces. (AM-61)