On Finite Determinacy of Formal Vector Fields.
On higher order point singularities of some geometric object fields
On hypersurface singularities which are stems
On Right-Equivalence.
On Singularities of Smooth Maps to a Space with a Fixed Cone.
On surfaces and their contours.
On the cardinality of a semi-algebraic set.
On the degree of C...-determinacy.
On the Determinacy of Smooth Map-Germs.
On the local structure of a generic central set
On the minima of functionals with linear growth
On the Pham example and the universal topological stratification of singularities
On the symmetry of Stokes regions of a simple singularity.
On Topological Stability of Divergent Diagrams of Folds.
Overdetermined Strata in General Families of Polynomials
2000 Mathematics Subject Classification: 12D10.In the paper we give different examples of overdetermined strata.
Perturbing away singularity from area-minimizing hypercones.
Poisson geometry of flat connections for SU(2)-bundles on surfaces.
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...
Positive quadratic differential forms : linearization, finite determinacy and versal unfolding
Preparation theorems for matrix valued functions
We generalize the Malgrange preparation theorem to matrix valued functions satisfying the condition that vanishes to finite order at . Then we can factor near (0,0), where is inversible and is polynomial function of depending on . The preparation is (essentially) unique, up to functions vanishing to infinite order at , if we impose some additional conditions on . We also have a generalization of the division theorem, and analytic versions generalizing the Weierstrass preparation...