Details:
Title  Ideals with larger projective dimension and regularity  Author(s)  Jesse Beder, Soumen Chakrabarti, Barry Eaglestone, Jason McCullough, Luis NúñezBetancourt, 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 threegenerated 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  07477171 
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 
