16 citations · 35 across the 11 of their papers we have counts for
8 papers · 1 filter
The Oka principle for sections of subelliptic submersions
Franc Forstneric
Let X and Y be complex manifolds. One says that maps from X to Y satisfy the Oka principle if the inclusion of the space of holomorphic maps from X to Y into the space of continuou…
The Oka principle for multivalued sections of ramified mappings
Franc Forstneric
In this paper we establish a basic version of the Oka principle for multivalued sections of ramified holomorphic maps h from a complex manifold Z onto a Stein manifold X. If the ra…
Proper holomorphic discs in C^2
Franc Forstneric, Josip Globevnik
In this paper we investigate the global behavior of proper holomorphic maps f from the unit disc U={|z|<1} to C^2. The fact that U is transcendental imposes certain restrictions on…
Extending holomorphic sections from complex subvarieties
Franc Forstneric, Jasna Prezelj
Let X be a Stein manifold and let Y be a complex manifold which admits a spray in the sense of Gromov (Oka's principle for holomorphic sections of elliptic bundles, J. Amer. Math.…
On complete intersections
Franc Forstneric
We construct closed complex submanifolds of dimension three in C^5 which are differential complete intersections but not holomorphic complete intersections. We also prove a homotop…
The Oka principle, lifting of holomorphic maps and removability of intersections
Franc Forstneric
The paper is related to the author's talk at the Hayama Symposium in Complex Analysis in December 2000. In section 1 we survey results on the Oka principle for sections of holomorp…