Projects / Programmes
The project is in the area of several complex variables. In 1998 we published a paper with new results about local perturbation of two-sheeted analytic sets along disjoint union of two maximally real tori. We obtained new results about the validity of th
| Code |
Science |
Field |
Subfield |
| 1.01.01 |
Natural sciences and mathematics |
Mathematics |
Analysis |
| Code |
Science |
Field |
| P130 |
Natural sciences and mathematics |
Functions, differential equations |
| P150 |
Natural sciences and mathematics |
Geometry, algebraic topology |
mathematics, complex analysis, several complex variables, analytic sets, approximation with biholomorphic maps, CR functions, holomorphic automorphisms, Fatou-Bieberbach domains
Researchers (5)
Organisations (1)
Abstract
The project is in the area of several complex variables. In 1998 we published a paper with new results about local perturbation of two-sheeted analytic sets along disjoint union of two maximally real tori. We obtained new results about the validity of the homotopy principle of M.Gromov, and about approximation of smooth diffeomorphisms between two totally real submanifolds with biholomorphic maps. We published a paper containing a construction of a Fatou-Bieberbach domain whose intersection with a given complex line is an arbitrarily small smooth perturbation of the unit disc. We proved that the area of a disc holomorphically embedded into a ball can grow arbitrarily fast near the boundary. We proved two new semiglobal Morera theorems for Cauchy-Riemann functions on real hypersurfaces. All these results are contained in two papers published in international journals and five papers accepted for publication in international journals.
