Betti numbers of Z^n-graded modules
| dc.creator | Brun, Morten | |
| dc.creator | Roemer, Tim | |
| dc.date | 2003-03-27 | |
| dc.date | 2004-09-27 | |
| dc.date.accessioned | 2026-07-07T04:56:26Z | |
| dc.date.available | 2026-07-07T04:56:26Z | |
| dc.description | Let S=K[X_1,...,X_n] be the polynomial ring over a field K. For bounded below Z^n-graded S-modules M and N we show that if Tor^S_p(M,N) is nonzero, then for every i between 0 and p, the dimension of the K-vector space Tor^S_i(M,N) is at least as big as the binomial coefficient (p,i). In particular, we get lower bounds for the total Betti numbers. These results are related to a conjecture of Buchsbaum and Eisenbud. | |
| dc.description | minor modifications | |
| dc.identifier | https://arxiv.org/abs/math/0303349 | |
| dc.identifier | http://arxiv.org/abs/math/0303349 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66921 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D07 13D02 18G15 | |
| dc.title | Betti numbers of Z^n-graded modules | |
| dc.type | text |