Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces
| dc.creator | Zaitsev, Dmitri | |
| dc.date | 1998-01-09 | |
| dc.date | 1998-01-30 | |
| dc.date.accessioned | 2026-07-07T05:23:32Z | |
| dc.date.available | 2026-07-07T05:23:32Z | |
| dc.description | We prove that a germ of a holomorphic map $f$ between $C^n$ and $C^{n'}$ sending one real-algebraic submanifold $M\subset C^n$ into another $M'\subset C^{n'}$ is algebraic provided $M'$ contains no complex-analytic discs and $M$ is generic and minimal. We also propose an algorithm for finding complex-analytic discs in a real submanifold. | |
| dc.description | 12 pages An algorithm for finding complex-analytic discs in a real submanifold is added | |
| dc.identifier | https://arxiv.org/abs/math/9801040 | |
| dc.identifier | http://arxiv.org/abs/math/9801040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76476 | |
| dc.subject | Complex Variables | |
| dc.subject | 32B10; 32C07; 32C16; 32D15; 32H02 | |
| dc.title | Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces | |
| dc.type | text |