Artículo
D'Andrea, C. "On the Structure of μ-Classes" (2004) Communications in Algebra. 32(1):159-165
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
We prove that, if μ < ⌊n/2⌋, then every rational parametrization of degree n and class μ is a limit of parametrizations of the same degree and class μ + 1. This property was conjectured in Cox, D., Sederberg, T., Chen, F. [Cox, D., Sederberg, T., Chen, F. (1998b)] and its validity allows an explicit description of the variety of parametrizations of degree n and class μ, for all (n, μ).
Registro:
| Documento: | Artículo |
| Título: | On the Structure of μ-Classes |
| Autor: | D'Andrea, C. |
| Filiación: | Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina Departamento de Matemática, FCEyN, Ciudad Universitaria, Buenos Aires 1428, Argentina |
| Palabras clave: | Parametrizations; Rational curves; μ-Bases |
| Año: | 2004 |
| Volumen: | 32 |
| Número: | 1 |
| Página de inicio: | 159 |
| Página de fin: | 165 |
| DOI: | http://dx.doi.org/10.1081/AGB-120027858 |
| Título revista: | Communications in Algebra |
| Título revista abreviado: | Commun. Algebra |
| ISSN: | 00927872 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v32_n1_p159_DAndrea |
Referencias:
- Chen, F., Sederberg, T., A new implicit representation of a planar rational curve with high order singularity (2002) Comput. Aided Geom. Design, 19, pp. 151-167. , 9.2
- Chen, F., Wang, W., (2002) The μ-Basis of a Planar Rational Curve- Properties Computation, , Preprint
- Chen, F., Zheng, J., Sederberg, T., The μ-basis of a rational ruled surface (2001) Comput. Aided Geom. Design, 18 (1), pp. 61-72
- Cox, D., Little, J., O'Shea, D., (1998) Using Algebraic Geometry, 185. , Graduate Texts in Mathematics. New York, Springer-Verlag
- Cox, D., Sederberg, T., Chen, F., The moving line ideal basis of planar rational curves (1998) Comput. Aided Geom. Des., 15, pp. 803-827
- Zheng, J., Sederberg, T., A direct approach to computing the μ- basis of planar rational curves (2001) J. Symbolic Comput., 31 (5), pp. 619-629
Citas:
---------- APA ----------
(2004) . On the Structure of μ-Classes. Communications in Algebra, 32(1), 159-165.http://dx.doi.org/10.1081/AGB-120027858
---------- CHICAGO ----------
D'Andrea, C. "On the Structure of μ-Classes" . Communications in Algebra 32, no. 1 (2004) : 159-165.http://dx.doi.org/10.1081/AGB-120027858
---------- MLA ----------
D'Andrea, C. "On the Structure of μ-Classes" . Communications in Algebra, vol. 32, no. 1, 2004, pp. 159-165.http://dx.doi.org/10.1081/AGB-120027858
---------- VANCOUVER ----------
D'Andrea, C. On the Structure of μ-Classes. Commun. Algebra. 2004;32(1):159-165.http://dx.doi.org/10.1081/AGB-120027858
