|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The Alexander polynomial of a plane curve singularity and the ring of functions on it | | A.Campillo
; F.Delgado
; S.M.Gusein-Zade
; | | Date: |
7 Feb 2000 | | Subject: | Algebraic Geometry; Geometric Topology MSC-class: 32S05; 14H20 | math.AG math.GT | | Affiliation: | University of Valladolid, Spain), F.Delgado (University of Valladolid, Spain), S.M.Gusein-Zade (Moscow State University, Russia | | Abstract: | We give two formulae which express the Alexander polynomial $Delta^C$ of several variables of a plane curve singularity $C$ in terms of the ring ${cal O}_{C}$ of germs of analytic functions on the curve. One of them expresses $Delta^C$ in terms of dimensions of some factorspaces corresponding to a (multi-indexed) filtration on the ring ${cal O}_{C}$. The other one gives the coefficients of the Alexander polynomial $Delta^C$ as Euler characteristics of some explicitly described spaces (complements to arrangements of projective hyperplanes). | | Source: | arXiv, math.AG/0002052 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER