On the cohomology of twistor flag spaces
On the compactification problem for Stein surfaces
On the connected components of a global semianalytic set.
On the Dimension of Analytic Cohomology.
On the dual space of the Tjurina algebra attached to a semi-quasihomogeneous isolated singularity
A dual space of the Tjurina algebra attached to a non-quasihomogeneous unimodal or bimodal singularity is considered. It is shown that almost every algebraic local cohomology class, belonging to the dual space, can be characterized as a solution of a holonomic system of first order differential equations.
On the embedding of 1-convex manifolds with 1-dimensional exceptional sets.
On the embedding of 1-convex manifolds with 1-dimensional exceptional set
In this paper we show that a 1-convex (i.e., strongly pseudoconvex) manifold , with 1- dimensional exceptional set and finitely generated second homology group , is embeddable in if and only if is Kähler, and this case occurs only when does not contain any effective curve which is a boundary.
On the Existence of Analytic Contractions.
On the extension of Nash functions.
On the fundamental group of the fixed points of an unipotent action.
On the group of real analytic diffeomorphisms
The group of real analytic diffeomorphisms of a real analytic manifold is a rich group. It is dense in the group of smooth diffeomorphisms. Herman showed that for the -dimensional torus, its identity component is a simple group. For fibered manifolds, for manifolds admitting special semi-free actions and for 2- or 3-dimensional manifolds with nontrivial actions, we show that the identity component of the group of real analytic diffeomorphisms is a perfect group.
On the Holonomic Systems of Linear Differential Equations, II.
On the Homological Dimension of a Der-Free Hypersurface.
On the homology groups of -complete spaces
On the Homology of Intersections of Complex Projective Manifolds.
On the intersection product of analytic cycles
We prove that the generalized index of intersection of an analytic set with a closed submanifold (Thm. 4.3) and the intersection product of analytic cycles (Thm. 5.4), which are defined in [T₂], are intrinsic. We define the intersection product of analytic cycles on a reduced analytic space (Def. 5.8) and prove a relation of its degree and the exponent of proper separation (Thm. 6.3).
On the Kuratowski convergence of analytic sets
We discuss some conditions which guarantee that the Kuratowski limit of a sequence of analytic sets is a Nash set.
On the local degree of plane analytic mappings.
On the Łojasiewicz exponent for analytic curves
An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.
On the Łojasiewicz exponent of the gradient of a holomorphic function
The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficients is the greatest lower bound of the set of λ > 0 such that the inequality holds near for a certain c > 0. In the paper, we give an estimate of the Łojasiewicz exponent of grad h using information from the Newton diagram of h. We obtain the exact value of the exponent for non-degenerate series.