Finite subsets of projective space, and their ideals
| dc.creator | Lederer, Mathias | |
| dc.date | 2007-11-07 | |
| dc.date | 2007-11-19 | |
| dc.date.accessioned | 2026-07-07T08:43:18Z | |
| dc.date.available | 2026-07-07T08:43:18Z | |
| dc.description | Let $\mathscr{A}$ be a finite set of closed rational points in projective space, let $\mathscr{I}$ be the vanishing ideal of $\mathscr{A}$, and let $\mathscr{D}(\mathscr{A})$ be the set of exponents of those monomials which do not occur as leading monomials of elements of $\mathscr{I}$. We show that the size of $\mathscr{A}$ equals the number of axes contained in $\mathscr{D}(\mathscr{A})$. Furthermore, we present an algorithm for the construction of the Gröbner basis of $\mathscr{I}(\mathscr{A})$, hence also of $\mathscr{D}(\mathscr{A})$. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/0711.1026 | |
| dc.identifier | http://arxiv.org/abs/0711.1026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142268 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13P10; 14N05 | |
| dc.title | Finite subsets of projective space, and their ideals | |
| dc.type | text |