Large Discrete Sets in Stein manifolds
| dc.creator | Winkelmann, Joerg | |
| dc.date | 1998-08-19 | |
| dc.date.accessioned | 2026-07-07T05:25:45Z | |
| dc.date.available | 2026-07-07T05:25:45Z | |
| dc.description | Rosay and Rudin constructed examples of discrete subsets of C^n with remarkable properties. We generalize these constructions from C^n to arbitrary Stein manifolds. We prove: Given a Stein manifold X and a affine variety V of the same dimension there exists a discrete subset D in X such that (1) X-D is measure hyperbolic, (2) f(V) intersects D for every non-degenerate holomorphic map from V to X and (3) every automorphism of X preserving the set D is already the identity map. We also give examples which demonstrate that such discrete subsets can not be found in arbitrary non-Stein manifolds. | |
| dc.description | LaTex 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/9808087 | |
| dc.identifier | http://arxiv.org/abs/math/9808087 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77302 | |
| dc.subject | Complex Variables | |
| dc.subject | 32E10,32H02 | |
| dc.title | Large Discrete Sets in Stein manifolds | |
| dc.type | text |