Cyclic Algebras over $p$-adic curves
| dc.creator | Saltman, David J. | |
| dc.date | 2006-04-18 | |
| dc.date.accessioned | 2026-07-07T07:11:04Z | |
| dc.date.available | 2026-07-07T07:11:04Z | |
| dc.description | In this paper we study division algebras over the function fields of curves over $\Q_p$. The first and main tool is to view these fields as function fields over nonsingular $S$ which are projective of relative dimension 1 over the $p$ adic ring $\Z_p$. A previous paper showed such division algebras had index bounded by $n^2$ assuming the exponent was $n$ and $n$ was prime to $p$. In this paper we consider algebras of degree (and hence exponent) $q \not= p$ and show these algebras are cyclic. We also find a geometric criterion for a Brauer class to have index $q$. | |
| dc.identifier | https://arxiv.org/abs/math/0604409 | |
| dc.identifier | http://arxiv.org/abs/math/0604409 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111616 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.title | Cyclic Algebras over $p$-adic curves | |
| dc.type | text |