Completions of valuation rings
| dc.creator | Cutkosky, Steven Dale | |
| dc.creator | Ghezzi, Laura | |
| dc.date | 2003-10-13 | |
| dc.date.accessioned | 2026-07-07T05:01:52Z | |
| dc.date.available | 2026-07-07T05:01:52Z | |
| dc.description | Let k be a field of characteristic zero, K an algebraic function field over k, and V a k-valuation ring of K. Zariski's theorem of local uniformization shows that there exist algebraic regular local rings R_i with quotient field K which are dominated by V, and such that the direct union of the R_i's is V. We investigate the ring T, which is the direct union of the completions of the R_i's. We give necessary and sufficient conditions for T to be a valuation ring. We then focus on the case in which the valuation has rank one. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310192 | |
| dc.identifier | http://arxiv.org/abs/math/0310192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68837 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13;14 | |
| dc.title | Completions of valuation rings | |
| dc.type | text |