Severi Degrees in Cogenus 4
| dc.creator | Choi, Youngook | |
| dc.date | 1996-01-15 | |
| dc.date | 1996-01-15 | |
| dc.date.accessioned | 2026-07-07T08:58:05Z | |
| dc.date.available | 2026-07-07T08:58:05Z | |
| dc.description | In this paper, we give closed-form formulae for Severi degrees in cogenus 3 and 4 using Ran's method. These formulae coincide with those of I. Vainsencher and for cogenus 3 case, that of J. Harris and R. Pandharipande. Another result of this paper is that we calculate the degree of the polynomial $N(π,δ,d)$ in $d$, which is the degree of the locus of curves $C$ in P^2 with degree d having $δ$ nodes and $C \cap L$ is of type $π$ to fixed line L. Using this result, we also calculate the coefficients of two leading terms of Severi polynomial, $N(δ,d)$. | |
| dc.description | TeX-Type: AMSLaTeX v 1.1, 11 pages | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9601013 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9601013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147185 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Severi Degrees in Cogenus 4 | |
| dc.type | text |