On approximating submanifolds by algebraic sets and a solution to the Nash conjecture.
On approximation of smooth submanifolds by nonsingular real algebraic subvarieties
On certain rigid fibered Calabi-Yau threefolds.
On classification of real singularities.
On Cohomology of Singularities of C°° Mapping.
On compact Kähler surfaces
Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kähler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.
On complete intersections
We construct closed complex submanifolds of which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of .
On Complexifications of Differentiable Manifolds.
On construction of exact complexes connected with the Dolbeault complex.
On Decomposition Theorems for Hardy Spaces on Domains in ... and Applications.
On Deligne-Malgrange lattices, resolution of turning points and harmonic bundles
In this short survey, we would like to overview the recent development of the study on Deligne-Malgrange lattices and resolution of turning points for algebraic meromorphic flat bundles. We also explain their relation with wild harmonic bundles. The author hopes that it would be helpful for access to his work on wild harmonic bundles.
On direct and inverse images of D-Modules in prime characteristic.
On Dolbeault Cohomology and Envelopes of Holomorphy.
On Equivalence of Ideals of Real Global Analytic Functions and the 17th Hilbert Problem.
On Essential Singularities of Meromorphic Mappings.
On extensions of holomorphic functions satisfying a polynomial growth condition on algebraic varieties in
Let be an algebraic variety in and when is an integer then denotes all holomorphic functions on satisfying for all and some constant . We estimate the least integer such that every admits an extension from into by a polynomial , of degree at most. In particular is related to cohomology groups with coefficients in coherent analytic sheaves on . The existence of the finite integer is for example an easy consequence of Kodaira’s Vanishing Theorem.
On global Nash functions
On Hilbert's 17th Problem and Real Nullstellensatz for Global Analytic Functions.
On improper isolated intersection in complex analytic geometry
On irreducible components of a Weierstrass-type variety
We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.