Arf characters of an algebroid curve
| dc.creator | Barucci, Valentina | |
| dc.creator | D'Anna, Marco | |
| dc.creator | Froberg, Ralf | |
| dc.date | 2003-01-31 | |
| dc.date | 2003-06-11 | |
| dc.date.accessioned | 2026-07-07T04:54:47Z | |
| dc.date.available | 2026-07-07T04:54:47Z | |
| dc.description | Two algebroid branches are said to be equivalent if they have the same multiplicity sequence. It is known that two algebroid branches $R$ and $T$ are equivalent if and only if their Arf closures, $R'$ and $T'$ have the same value semigroup, which is an Arf numerical semigroup and can be expressed in terms of a finite set of information, a set of characters of the branch. We extend the above equivalence to algebroid curves with $d>1$ branches. An equivalence class is described, in this more general context, by an Arf semigroup, that is not a numerical semigroup, but is a subsemigroup of $\mathbb N^d$. We express this semigroup in terms of a finite set of information, a set of characters of the curve, and apply this result to determine other curves equivalent to a given one. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301366 | |
| dc.identifier | http://arxiv.org/abs/math/0301366 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66397 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H15; 14B05 | |
| dc.title | Arf characters of an algebroid curve | |
| dc.type | text |