Bounds on the Castelnuovo-Mumford regularity of tensor products
| dc.creator | Caviglia, Giulio | |
| dc.date | 2005-10-18 | |
| dc.date.accessioned | 2026-07-07T06:47:38Z | |
| dc.date.available | 2026-07-07T06:47:38Z | |
| dc.description | In this paper we show how, given a complex of graded modules and knowing some partial Castelnuovo-Mumford regularities for all the modules in the complex and for all the positive homologies, it is possible to get a bound on the regularity of the zero homology. We use this to prove that if $\dim \tor_1^R(M,N)\leq1$ then $\reg(M\otimes N)\leq \reg(M)+\reg(N)$, generalizing results of Chandler, Conca and Herzog, and Sidman. Finally we give a description of the regularity of a module in terms of the postulation numbers of filter regular hyperplane restrictions. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510395 | |
| dc.identifier | http://arxiv.org/abs/math/0510395 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103718 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D45; 13D02 | |
| dc.title | Bounds on the Castelnuovo-Mumford regularity of tensor products | |
| dc.type | text |