Intégrales de Nilsson et faisceaux constructibles
Intégrales singulières holomorphes
Integrals for holomorphic foliations with singularities having all leaves compact
We show that for a holomorphic foliation with singularities in a projective variety such that every leaf is quasiprojective, the set of rational functions that are constant on the leaves form a field whose transcendence degree equals the codimension of the foliation.
Intégration de classes de cohomologie méromorphes et diviseurs d'incidence
Interaction de strates consécutives pour les cycles évanescents
Intersection form for quasi-homogeneous singularities
Intersection Homology II.
Intersection lattices and topological structures of complements of arrangements in
Intertwined mappings
Intrinsic microlocal analysis and inversion formulae for the heat equation on compact real-analytic riemannian manifolds
Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings
We describe the notion of a weakly Lipschitz mapping on a stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms. This class includes the Whitney (B) condition and the Verdier condition.
Invarianten quasihomogener vollständiger Durchschnitte.
Invariants of bi-Lipschitz equivalence of real analytic functions
We construct an invariant of the bi-Lipschitz equivalence of analytic function germs (ℝⁿ,0) → (ℝ,0) that varies continuously in many analytic families. This shows that the bi-Lipschitz equivalence of analytic function germs admits continuous moduli. For a germ f the invariant is given in terms of the leading coefficients of the asymptotic expansions of f along the sets where the size of |x| |grad f(x)| is comparable to the size of |f(x)|.
Invariants of equidimensional maps
To a given complex-analytic equidimensional corank-1 germ f, one can associate a set of integer 𝓐-invariants such that f is 𝓐-finite if and only if all these invariants are finite. An analogous result holds for corank-1 germs for which the source dimension is smaller than the target dimension.
Invariants of singularities of polynomials in two complex variables and the Newton diagrams.
Invertible polynomial mappings via Newton non-degeneracy
We prove a sufficient condition for the Jacobian problem in the setting of real, complex and mixed polynomial mappings. This follows from the study of the bifurcation locus of a mapping subject to a new Newton non-degeneracy condition.
Irreducible components of the space of holomorphic foliations.
Irregular fibers of complex polynomials in two variables.
For a complex polynomial in two variables we study the morphism induced in homology by the embedding of an irregular fiber in a regular neighborhood of it. We give necessary and sufficient conditions for this morphism to be injective, surjective. Particularly this morphism is an isomorphism if and only if the corresponding irregular value is regular at infinity. We apply these results to the study of vanishing and invariant cycles.
Irregularity of an analogue of the Gauss-Manin systems
In -modules theory, Gauss-Manin systems are defined by the direct image of the structure sheaf by a morphism. A major theorem says that these systems have only regular singularities. This paper examines the irregularity of an analogue of the Gauss-Manin systems. It consists in the direct image complex of a -module twisted by the exponential of a polynomial by another polynomial , where and are two polynomials in two variables. The analogue of the Gauss-Manin systems can have irregular...
Isolated critical points of mappings from R4 to R2 and a natural splitting of the Milnor number of a classical fibered link. Part I: Basic theory; examples.