On Kodaira energy and adjoint reduction of polarized manifold.
On k-Pseudoflat Complex Spaces.
On local images of holomorphic mappings
On meromorphic functions defined by a differential system of order
Given a germ of holomorphic function on , we study the condition: “the ideal is generated by operators of order1”. We obtain here full characterizations in the particular cases of Koszul-free germs and unreduced germs of plane curves. Moreover, we prove that this condition holds for a special type of hyperplane arrangements. These results allow us to link this condition to the comparison of de Rham complexes associated with .
On microlocal -function
On Noether and strict stability, Hilbert exponent, and relative Nullstellensatz
Conditions characterizing the membership of the ideal of a subvariety arising from (effective) divisors in a product complex space Y × X are given. For the algebra of relative regular functions on an algebraic variety V, the strict stability is proved, in the case where Y is a normal space, and the Noether stability is established under a weakened condition. As a consequence (for both general and complete intersections) a global Nullstellensatz is derived for divisors in , respectively, . Also...
On non-holonomic irreducible D-modules.
On normalization of Nash varieties
On proper discs in complex manifolds
Let be a complex manifold of dimension at least which has an exhaustion function whose Levi form has at each point at least strictly positive eigenvalues. We construct proper holomorphic discs in through any given point and in any given direction.
On Smoothable Curve Singularities: Local Methods.
On some generalizations of Jacobi's residue formula
On Stein extensions of real symmetric spaces.
On the analytic approximation of differentiable functions from above
We determine conditions in order that a differentiable function be approximable from above by analytic functions, being left invariate on a fixed analytic subset which is a locally complete intersection.
On the blowing down problem in C-analytic geometry.
On the boundary value problem for the elliptic system of linear differential equations
On the branches of a complex space.
On the Briançon-Skoda theorem on a singular variety
Let be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briançon-Skoda theorem for the local ring ; a result which was previously proved by Huneke by algebraic methods. For ideals with few generators we also get much sharper results.
On the classification of complex analytic supermanifolds.
On the cohomology of a general fiber of a polynomial map
On the cohomology of sheaves SεL