Hypersurfaces of bounded Cohen--Macaulay type
| dc.creator | Leuschke, Graham J. | |
| dc.creator | Wiegand, Roger | |
| dc.date | 2002-08-10 | |
| dc.date | 2003-04-22 | |
| dc.date.accessioned | 2026-07-07T04:50:10Z | |
| dc.date.available | 2026-07-07T04:50:10Z | |
| dc.description | Let R = k[[x_0,...,x_d]]/(f), where k is a field and f is a non-zero non-unit of the formal power series ring k[[x_0,...,x_d]]. We investigate the question of which rings of this form have bounded Cohen--Macaulay type, that is, have a bound on the multiplicities of the indecomposable maximal Cohen--Macaulay modules. As with finite Cohen--Macaulay type, if the characteristic is different from two, the question reduces to the one-dimensional case: The ring R has bounded Cohen--Macaulay type if and only if R is isomorphic to k[[x_0,...,x_d]]/(g+x_2^2+...+x_d^2), where g is an element of k[[x_0,x_1]] and k[[x_0,x_1]]/(g) has bounded Cohen--Macaulay type. We determine which rings of the form k[[x_0,x_1]]/(g) have bounded Cohen--Macaulay type. | |
| dc.description | 16 pages, referee's suggestions and corrections | |
| dc.identifier | https://arxiv.org/abs/math/0208083 | |
| dc.identifier | http://arxiv.org/abs/math/0208083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64698 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C14 (Primary), 13C05, 13H10 (Secondary) | |
| dc.title | Hypersurfaces of bounded Cohen--Macaulay type | |
| dc.type | text |