Invitation to higher local fields, Part II, section 7: Recovering higher global and local fields from Galois groups - an algebraic approach
| dc.creator | Efrat, Ido | |
| dc.date | 2000-12-18 | |
| dc.date.accessioned | 2026-07-07T04:39:16Z | |
| dc.date.available | 2026-07-07T04:39:16Z | |
| dc.description | A main problem in Galois theory is to characterize the fields with a given absolute Galois group. We apply a K-theoretic method for constructing valuations to study this problem in various situations. As a first application we obtain an algebraic proof of the 0-dimensional case of Grothendieck's anabelian conjecture (proven by Pop), which says that finitely generated infinite fields are determined up to purely inseparable extensions by their absolute Galois groups. As a second application (which is a joint work with Fesenko) we analyze the arithmetic structure of fields with the same absolute Galois group as a higher-dimensional local field. | |
| dc.description | For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon3/m3-II-7.abs.html | |
| dc.identifier | https://arxiv.org/abs/math/0012157 | |
| dc.identifier | http://arxiv.org/abs/math/0012157 | |
| dc.identifier | Geom. Topol. Monogr. Volume 3(2000) 273-279 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60589 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 12E30, 12J25, 19M05 | |
| dc.title | Invitation to higher local fields, Part II, section 7: Recovering higher global and local fields from Galois groups - an algebraic approach | |
| dc.type | text |