On the Moser Normal Form ata Non-Umbilic Point.
On the order of holomorphic and -holomorphic functions.
On the projective structure of a real hypersurface in C...
On the pythagoras numbers of real analytic surfaces
On the Real Spectrum of a Ring of Global Analytic Functions
On the relative Nash approximation of analytic maps.
On the Structure of Positive Currents.
On the theorem of Frobenius for complex vector fields
On the Topology of Complex Projective Manifolds.
On the vanishing of local homotopy groups for isolated singularities of complex spaces.
On topological classification of complex mappings
We study the topological invariant ϕ of Kwieciński and Tworzewski, particularly beyond the case of mappings with smooth targets. We derive a lower bound for ϕ of a general mapping, which is similarly effective as the upper bound given by Kwieciński and Tworzewski. Some classes of mappings are identified for which the exact value of ϕ can be computed. Also, we prove that the variation of ϕ on the source space of a mapping with a smooth target is semicontinuous in the Zariski topology.
On 'Type' Conditions for Generic Real Submanifolds of Cn.
On vector-bundle valued cohomology on complex Finsler manifolds.
One-dimensional infinitesimal-birational duality through differential operators
The structure of filtered algebras of Grothendieck's differential operators on a smooth fat point in a curve and graded Poisson algebras of their principal symbols is explicitly determined. A related infinitesimal-birational duality realized by a Springer type resolution of singularities and the Fourier transformation is presented. This algebro-geometrical duality is quantized in appropriate sense and its quantum origin is explained.
Orbits of families of vector fields on subcartesian spaces
Orbits of complete families of vector fields on a subcartesian space are shown to be smooth manifolds. This allows a description of the structure of the reduced phase space of a Hamiltonian system in terms of the reduced Poisson algebra. Moreover, one can give a global description of smooth geometric structures on a family of manifolds, which form a singular foliation of a subcartesian space, in terms of objects defined on the corresponding family of vector fields. Stratified...
Osservazioni sulla coomologia del
-adic analytic spaces.
Perturbation results for the local Phragmén-Lindelöf condition and stable homogeneous polynomials.
The local Phragmén-Lindelöf condition for analytic varieties in complex n-space was introduced by Hörmander and plays an important role in various areas of analysis. Recently, new necessary geometric properties for a variety satisfying this condition were derived by the present authors. These results are now applied to investigate the homogeneous polynomials P with real coefficients that are stable in the following sense: Whenever f is a holomorphic function that is defined in some neighborhood...
Pluri-canonical divisors on Kähler manifolds.
Plurisubharmonic currents and their extension across analytic subsets.