Details:
| Title | Ideals with larger projective dimension and regularity | | Author(s) | Jesse Beder, Soumen Chakrabarti, Barry Eaglestone, Jason McCullough, Luis , Alexandra Seceleanu | | Type | Article in Journal | | Abstract | We define a family of homogeneous ideals with large projective dimension and regularity relative to the number of generators and their common degree. This family subsumes and improves upon constructions given by Caviglia (2004) and McCullough (2011). In particular, we describe a family of three-generated homogeneous ideals, in arbitrary characteristic, whose projective dimension grows asymptotically as a power of the degree of the generators. | | Keywords | Projective dimension, Regularity, Ideals, Resolutions | | ISSN | 0747-7171 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0747717111000824 |
| Language | English | | Journal | Journal of Symbolic Computation | | Volume | 46 | | Number | 10 | | Pages | 1105 - 1113 | | Year | 2011 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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