Meromorphic Groups
| dc.creator | Pillay, Anand | |
| dc.creator | Scanlon, Thomas | |
| dc.date | 2000-05-02 | |
| dc.date | 2000-05-16 | |
| dc.date.accessioned | 2026-07-07T04:34:58Z | |
| dc.date.available | 2026-07-07T04:34:58Z | |
| dc.description | We introduce the notion of a meromorphic group, weakening somewhat Fujiki's definition We prove that a meromorphic group is meromorphically an extension of a complex torus by a linear algebraic group, generalizing results in [Fujiki, 1978]. A special case of this result, as well as one of the ingredients in the proof, is that a strongly minimal "modular" meromorphic group is a complex torus, answering a question of Hrushovski. As a consequence, we show that a simple compact complex manifold has algebraic and Kummer dimension zero if an only if its generic type is trivial. | |
| dc.description | The claim in Case III of the proof of Lemma 4.3 was missing in the earlier version | |
| dc.identifier | https://arxiv.org/abs/math/0005023 | |
| dc.identifier | http://arxiv.org/abs/math/0005023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59111 | |
| dc.subject | Complex Variables | |
| dc.subject | Logic | |
| dc.subject | 22E10, 32Q57, 03C60, 03C90 | |
| dc.title | Meromorphic Groups | |
| dc.type | text |