A Theory of Divisors for Algebraic Curves
| dc.creator | de Piro, Tristram | |
| dc.date | 2007-03-10 | |
| dc.date.accessioned | 2026-07-07T07:51:24Z | |
| dc.date.available | 2026-07-07T07:51:24Z | |
| dc.description | The purpose of this paper is two-fold. We first prove a series of results, concerned with the notion of Zariski multiplicity, mainly for non-singular algebraic curves. These results are required in the paper "A Theory of Branches for Algebraic Curves",(*), where, following Severi, we introduced the notion of the "branch" of an algebraic curve. Secondly, we use results from the cited paper, (*), in order to develop a refined theory of g_{n}^{r} on an algebraic curve. The refinement depends critically on relacing the notion of a point with a branch. This allows us to construct a theory of divisors, \emph{generalising} the corresponding theory in the special case when the algebraic curve is non-singular, which is birationally invariant. | |
| dc.identifier | https://arxiv.org/abs/math/0703290 | |
| dc.identifier | http://arxiv.org/abs/math/0703290 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125501 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Logic | |
| dc.title | A Theory of Divisors for Algebraic Curves | |
| dc.type | text |