Wedge extendability of CR-meromorphic functions: the minimal case
| dc.creator | Merker, Joel | |
| dc.creator | Porten, Egmont | |
| dc.date | 2000-06-23 | |
| dc.date | 2004-04-13 | |
| dc.date.accessioned | 2026-07-07T04:36:03Z | |
| dc.date.available | 2026-07-07T04:36:03Z | |
| dc.description | In this article, we consider metrically thin singularities E of the solutions of the tangential Cauchy-Riemann operators on a C^{2,a}-smooth embedded Cauchy-Riemann generic manifold M (CR functions on M - E) and more generally, we consider holomorphic functions defined in wedgelike domains attached to M - E. Our main result establishes the wedge- and the L^1-removability of E under the hypothesis that the (\dim M-2)-dimensional Hausdorff volume of E is zero and that M and M\backslash E are globally minimal. As an application, we deduce that there exists a wedgelike domain attached to an everywhere locally minimal M to which every CR-meromorphic function on M extends meromorphically. | |
| dc.description | 23 pages, 5 figures, deformations of global analytic discs | |
| dc.identifier | https://arxiv.org/abs/math/0006178 | |
| dc.identifier | http://arxiv.org/abs/math/0006178 | |
| dc.identifier | Math. Z. 241 (2002), 485-512 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59464 | |
| dc.subject | Complex Variables | |
| dc.subject | Primary: 32D20. Secondary: 32A20, 32D10, 32V10, 32V25, 32V35 | |
| dc.title | Wedge extendability of CR-meromorphic functions: the minimal case | |
| dc.type | text |