Équisingularité réelle : nombres de Lelong et images polaires
Équivalence de deux fibrations pour les formes logarithmiques.
The object of this work is to generalize to the germs of Pfaffian logarithmic forms, the two equivalent descriptions of the J. Milnor’s fibre that is wellknown for the germs of holomorphic functions.
Equivalence of analytic and rational functions
We give a criterion for a real-analytic function defined on a compact nonsingular real algebraic set to be analytically equivalent to a rational function.
Equivalence of differentiable mappings and analytic mappings
Equivalences between isolated hypersurface singularities.
Equivariant chain complexes, twisted homology and relative minimality of arrangements
Equivariant virtual Betti numbers
We define a generalised Euler characteristic for arc-symmetric sets endowed with a group action. It coincides with the Poincaré series in equivariant homology for compact nonsingular sets, but is different in general. We put emphasis on the particular case of , and give an application to the study of the singularities of Nash function germs via an analog of the motivic zeta function of Denef and Loeser.
Ergänzung und Berichtigung zu : Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität.
Errata to "Multiplicity and the Łojasiewicz exponent" (Ann. Polon. Math. 73 (2000), 257-267)
Erratum : “Real deformations and complex topology of plane curve singularities”
Erratum to the paper : “Déformations à nombre de Milnor constant: quelques résultats sur les polynômes de Bernstein”
Erratum : «Un critère topologique d’existence de pôles pour le prolongement méromorphe de »
Espaces conormaux relatifs. I. Conditions de transversalité
Estimation of Lojasiewicz Exponents and Newton Polygons.
Étude du comportement du polynôme de Bernstein lors d’une déformation à constant de avec
Examples of string-theoretic Euler numbers.
Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials
Let f: ℝⁿ → ℝ be a polynomial function of degree d with f(0) = 0 and ∇f(0) = 0. Łojasiewicz’s gradient inequality states that there exist C > 0 and ϱ ∈ (0,1) such that in a neighbourhood of the origin. We prove that the smallest such exponent ϱ is not greater than with .
Explicit models for perserse sheaves.
We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves categories which are equivalent to the former ones. In particular , we are able to realize perverse sheaves categories as non full abelian subcategories of the usual bounded complexes of sheaves categories. Our methods use induction on perversities. In this paper, we restrict...
Explicit resolutions of double point singularities of surfaces.
Locally analytically, any isolated double point occurs as a double cover of a smooth surface. It can be desingularized explicitly via the canonical resolution, as it is very well-known. In this paper we explicitly compute the fundamental cycle of both the canonical and minimal resolution of a double point singularity and we classify those for which the fundamental cycle differs from the fiber cycle. Moreover we compute the conditions that a double point singularity imposes to pluricanonical systems....
Exponents and Newton Polyhedra of Isolated Hypersurface Singularities.