4 papers
A Thullen-type Extension Theorem for Nakano Semi-Positive Holomorphic Vector Bundles
V. Delécluse, S. Ivashkovych
We prove a Thullen-type extension theorem for hermitian bundles with Nakano semi-positive curvature. As an intermediate result we establish the -estimates for the $\dbar$-equa…
The Levi problem over generalized Hirzebruch manifolds
S. Ivashkovych, C. Miebach, V. Shevchishin
We review classical methods to solve the Levi problem in the presence of symmetries, established by Hirschowitz and by Grauert-Remmert-Ueda. We then illustrate these methods by sol…
Non-existence of a holomorphic embedding of the Sobolev loop space into the projective Hilbert space
Anakkar M., S. Ivashkovich
The goal of this paper is to understand the properties of meromorphic mappings with values in two model complex Hibert manifolds: projective Hilbert space $\pp(l^2)$ and Sobolev lo…
Positivity of Boundary Intersections of Complex Curves and Adjunction Formula
S. Ivashkovych
One of the goals of this paper is to prove that the index of intersection of two complex curves in a two-dimensional complex manifold tangent to each other at a common boundary poi…