Good Reduction of Good Filtrations at Places
| dc.creator | Petit, Toukaiddine | |
| dc.creator | Van Oystaeyen, Freddy | |
| dc.date | 2004-11-16 | |
| dc.date | 2005-05-04 | |
| dc.date.accessioned | 2026-07-07T05:14:23Z | |
| dc.date.available | 2026-07-07T05:14:23Z | |
| dc.description | We consider filtered or graded algebras $A$ over a field $K$. Assume that there is a discrete valuation $O_v$ of $K$ with $m_v$ its maximal ideal and $k_v:=O_v/m_v$ its residue field. Let $Λ$ be $O_v$-order such that $ΛK=A$ and $\barΛ:=k_v\otimes_{O_v}Λ$ the $Λ$-reduction of $A$ at the place $K\leadsto k_v$. Using the filtration of $A$ induced by $Λ$ we shall prove that for certain algebras $A$ their properties are related to $\barΛ$. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0411364 | |
| dc.identifier | http://arxiv.org/abs/math/0411364 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73259 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 16W35, 16W70, 16W60, 06B23, 06B25 | |
| dc.title | Good Reduction of Good Filtrations at Places | |
| dc.type | text |