Name
Abstract | ||
|---|---|---|
Let H be an n-generated numerical semigroup such that its tangent cone gr(m) K[H] is defined by quadratic relations. We show that if n < 5 then gr(m) K[H] is Cohen-Macaulay, and for n = 5 we explicitly describe the semigroups H such that gr(m) K[H] is not Cohen-Macaulay. As an application we show that if the field K is algebraically closed and of characteristic different from two, and n <= 5 then gr(m) K[H] is Koszul if and only if (possibly after a change of coordinates) its defining ideal has a quadratic Grobner basis. |
Year | Venue | Keywords |
|---|---|---|
2016 | ELECTRONIC JOURNAL OF COMBINATORICS | numerical semigroup ring,tangent cone,Cohen-Macaulay,Koszul,G-quadratic,h-vector |
Field | DocType | Volume |
Topology,Combinatorics,Algebra,Quadratic equation,Tangent,Tangent cone,Numerical semigroup,Algebraically closed field,Mathematics | Journal | 23 |
Issue | ISSN | Citations |
3.0 | 1077-8926 | 0 |
PageRank | References | Authors |
0.34 | 1 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dumitru I. Stamate | 1 | 0 | 0.68 |