Big Cohen-Macaulay Algebras and Seeds
| dc.creator | Dietz, Geoffrey D. | |
| dc.date | 2005-08-18 | |
| dc.date | 2007-08-27 | |
| dc.date.accessioned | 2026-07-07T08:25:57Z | |
| dc.date.available | 2026-07-07T08:25:57Z | |
| dc.description | We delve into the properties possessed by algebras, which we have termed seeds, that map to big Cohen-Macaulay algebras. We will show that over a complete local domain of positive characteristic any two big Cohen-Macaulay algebras map to a common big Cohen-Macaulay algebra. We will also strengthen Hochster and Huneke's "weakly functorial" existence result for big Cohen-Macaulay algebras by showing that the seed property is stable under base change between complete local domains of positive characteristic. We also show that every seed over a positive characteristic local ring (R,m) maps to a big Cohen-Macaulay R-algebra that is an absolutely integrally closed, m-adically separated, quasilocal domain. | |
| dc.description | 31 pages, typos corrected, Journal-ref added | |
| dc.identifier | https://arxiv.org/abs/math/0508358 | |
| dc.identifier | http://arxiv.org/abs/math/0508358 | |
| dc.identifier | Trans. of the Amer. Math. Soc., 359 (2007), No. 12, 5959--5989 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136791 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C14, 13A35 (Primary); 13H10, 13B99 (Secondary) | |
| dc.title | Big Cohen-Macaulay Algebras and Seeds | |
| dc.type | text |