Contracted ideals and the Groebner fan of the rational normal curve
| dc.creator | Conca, Aldo | |
| dc.creator | De Negri, Emanuela | |
| dc.creator | Rossi, Maria Evelina | |
| dc.date | 2007-05-25 | |
| dc.date | 2007-10-11 | |
| dc.date.accessioned | 2026-07-07T08:35:16Z | |
| dc.date.available | 2026-07-07T08:35:16Z | |
| dc.description | The paper has two goals: the study the associated graded ring of contracted homogeneous ideals in $K[x,y]$ and the study of the Groebner fan of the ideal $P$ of the rational normal curve in ${\bf P}^d$. These two problems are, quite surprisingly, very tightly related. We completely classify the contracted ideals with a Cohen-Macaulay associated graded rings in terms of the numerical invariants arising from Zariski's factorization. We determine explicitly all the initial ideals (monomial or not) of $P$ that are Cohen-Macaulay. | |
| dc.description | revised version, references added. To appear in ``Algebra and Number Theory" | |
| dc.identifier | https://arxiv.org/abs/0705.3767 | |
| dc.identifier | http://arxiv.org/abs/0705.3767 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139693 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 13A30, 13P10, 13D40, | |
| dc.title | Contracted ideals and the Groebner fan of the rational normal curve | |
| dc.type | text |