Name
Abstract | ||
|---|---|---|
Quasi-stable ideals appear as leading ideals in the theory of Pommaret bases. We show that quasi-stable leading ideals share many of the properties of the generic initial ideal. In contrast to genericity, quasi-stability is a characteristic independent property that can be effectively verified. We also relate Pommaret bases to some invariants associated with local cohomology, exhibit the existence of linear quotients in Pommaret bases and prove some results on componentwise linear ideals. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/978-3-642-32973-9_14 | computer algebra in scientific computing |
Keywords | DocType | Volume |
quasi-stable ideal,generic initial ideal,componentwise linear ideal,local cohomology,pommaret base,linear quotient,characteristic independent property,quasi-stable leading ideal | Conference | abs/1205.6671 |
ISSN | Citations | PageRank |
0302-9743 | 2 | 0.42 |
References | Authors | |
3 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Amir Hashemi | 1 | 54 | 13.92 |
| Michael Schweinfurter | 2 | 4 | 1.14 |
| Werner M. Seiler | 3 | 79 | 17.45 |