Combinatorial structure of Stokes regions of a simple singularity.
Conformally invariant variational integrals and the removability of isolated singularities.
Constructing generic smooth maps of a manifold into a surface with prescribed singular loci
It is known that the singular set of a generic smooth map of an -dimensional manifold into a surface is a closed 1-dimensional submanifold of and that it has a natural stratification induced by the absolute index. In this paper, we give a complete characterization of those 1-dimensional (stratified) submanifolds which arise as the singular set of a generic map in terms of the homology class they represent.
Cycles and measure of bifurcation sets for two-dimensional diffeomorphisms.
Déformations isomonodromiques des singularités régulières
Deformations which preserve the non-immersive locus of a map-germ.
Densité des feuilles de certaines équations de Pfaff à 2 variables
On donne une condition suffisante explicite et générique pour qu’une forme de Pfaff à deux variables complexes ait ses feuilles denses tant localement que globalement.
Density and stability of Morse functions on a stratified space
Determinacy and unipotency.
Die Hierarchie der 1-modularen Singularitäten.
Dynamische Systeme und isolierte Singularitäten.
Éclatements quasi homogènes
Eine Bemerkung zur Regularität stationärer Punkte von konform invarianten Variationsintegralen.
Equivalence and zero sets of certain maps in infinite dimensions
Equivalence and zero sets of certain maps on infinite dimensional spaces are studied using an approach similar to the deformation lemma from the singularity theory.
Equivalence of differentiable functions, rational functions and polynomials
We show under some assumptions that a differentiable function can be transformed globally to a polynomial or a rational function by some diffeomorphism. One of the assumptions is that the function is proper, the number of critical points is finite, and the Milnor number of the germ at each critical point is finite.
Equivalence of differentiable mappings and analytic mappings
Equivalence of generic mappings and normalization
Equivalence of Glancing Hypersurfaces. II.
Extension of Whitney Fields from Subanalytic Sets.
Families of functions dominated by distributions of -classes of mappings
A subsheaf of the sheaf of germs functions over an open subset of is called a sheaf of sub function. Comparing with the investigations of sheaves of ideals of , we study the finite presentability of certain sheaves of sub -rings. Especially we treat the sheaf defined by the distribution of Mather’s -classes of a mapping.