Schott, Josua (2022). Holomorphic Factorization of Mappings into Sp2n(C). (Thesis). Universität Bern, Bern
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22schott_j.pdf - Thesis Available under License Creative Commons: Attribution (CC-BY 4.0). Download (3MB) | Preview |
Abstract
It is shown that a symplectic matrix, whose entries are holomorphic functions on a finite dimensional reduced Stein space, can be decomposed into a finite product of elementary symplectic matrices if and only if it is null-homotopic. The proof is based on an application of the Oka principle in its most general form.
| Item Type: | Thesis |
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| Dissertation Type: | Single |
| Date of Defense: | 16 December 2022 |
| Subjects: | 500 Science > 510 Mathematics |
| Institute / Center: | 08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
| Depositing User: | Hammer Igor |
| Date Deposited: | 31 Jan 2023 14:36 |
| Last Modified: | 16 Dec 2023 23:25 |
| URI: | https://boristheses.unibe.ch/id/eprint/4061 |
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