Covers of the multiplicative group of an algebraically closed field of characteristic zero
| dc.creator | Zilber, B. | |
| dc.date | 2004-01-22 | |
| dc.date.accessioned | 2026-07-07T05:04:46Z | |
| dc.date.available | 2026-07-07T05:04:46Z | |
| dc.description | We study the universal cover of the complex one-dimensional torus as a model-theoretic structure in a natural language. We consider also abstract covers of one-dimensional tori over algebraically closed fields of characteristic zero. The main result states that the structures can be described uniquely up to isomorphism by a simple (non-first order) sentence, given a fixed uncountable cardinality of the underlying field. The proof reduces to the Kummer theory of cyclic Galois extensions over some, not necessarily finitely generated fields. | |
| dc.description | 25 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0401301 | |
| dc.identifier | http://arxiv.org/abs/math/0401301 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69933 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Logic | |
| dc.subject | 12F10; 12L12; 03C60 | |
| dc.title | Covers of the multiplicative group of an algebraically closed field of characteristic zero | |
| dc.type | text |