Cyclotomy and analytic geometry over F_1
| dc.creator | Manin, Yuri I. | |
| dc.date | 2008-09-09 | |
| dc.date | 2009-03-23 | |
| dc.date.accessioned | 2026-07-07T12:54:38Z | |
| dc.date.available | 2026-07-07T12:54:38Z | |
| dc.description | Geometry over non--existent "field with one element" $F_1$ conceived by Jacques Tits [Ti] half a century ago recently found an incarnation, in at least two related but different guises. In this paper I analyze the crucial role of roots of unity in this geometry and propose a version of the notion of "analytic functions" over $F_1$. The paper combines a focused survey with some new constructions. In new version, several local additions and changes are made, references added. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/0809.1564 | |
| dc.identifier | http://arxiv.org/abs/0809.1564 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224002 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10 | |
| dc.title | Cyclotomy and analytic geometry over F_1 | |
| dc.type | text |