On M-Bloch Functions
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 meromorphic functions with maximal defect sum
The purpose of this article is twofold. The first is to give necessary conditions for the maximality of the defect sum. The second is to show that the class of meromorphic functions with maximal defect sum is very thin in the sense that deformations of meromorphic functions with maximal defect sum by small meromorphic functions are not meromorphic functions with maximal defect sum.
On meromorphic functions with values in locally convex spaces
On M-harmonic space Bsp
On microlocal -function
On Moduli of Algebraic Varieties. I.
On moduli of algebraic varieties III. Fine moduli spaces
On moduli of boundary values of holomorphic functions.
On monomial relations between p-adic periods.
On Multiplication Algebras of Riemann Matrices.
On n class of capacities on complex manifolds endowed with an hermitian structure and their relation to elliptic and hyperbolic quasiconformal mappings [Book]
On n-circled -domains of holomorphy
We present various characterizations of n-circled domains of holomorphy with respect to some subspaces of .
On negative weight derivations of the moduli algebras of weighted homogeneous hypersurface singularities.
On Nevanlinna's second main theorem in projective space.
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-Archimedean Representations of Abelian Varieties.
On Non-Compact Complex Nil-Manifolds.
On non-holonomic irreducible D-modules.
On nonimbeddability of Hartogs figures into complex manifolds
We prove the impossibility of imbeddings of Hartogs figures into general complex manifolds which are close to an imbedding of an analytic disc attached to a totally real collar. Analogously we provide examples of the so called thin Hartogs figures in complex manifolds having no neighborhood biholomorphic to an open set in a Stein manifold.