Stein Domains in Complex Surfaces
| dc.creator | Forstneric, Franc | |
| dc.date | 2002-01-11 | |
| dc.date | 2003-03-03 | |
| dc.date.accessioned | 2026-07-07T04:45:48Z | |
| dc.date.available | 2026-07-07T04:45:48Z | |
| dc.description | Let S be a closed connected real surface and f a smooth embedding or immersion of S into a complex surface X. Assuming that the number of complex points of the immersion (counted with algebraic multiplicities) is non-positive we prove that f can be uniformly approximated by an isotopic immersion g whose image g(S) in X has a basis of open Stein neighborhoods which are homotopy equivalent to g(S). We obtain precise results for surfaces in the complex projective plane CP^2 and find an immersed symplectic sphere in CP^2 with a Stein neighborhood. Conversely, the generalized adjunction inequality for embedded oriented real surfaces in complex surfaces shows that the existence of a Stein neighborhood implies non-positivity of the number of complex points. | |
| dc.description | Journal of Geometric Analysis, to appear | |
| dc.identifier | https://arxiv.org/abs/math/0201097 | |
| dc.identifier | http://arxiv.org/abs/math/0201097 | |
| dc.identifier | J. Geom. Anal., 13 (2003), 77-94 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63092 | |
| dc.subject | Complex Variables | |
| dc.subject | 32E10, 32Q28, 32Q55, 32V40 | |
| dc.title | Stein Domains in Complex Surfaces | |
| dc.type | text |