Set-theoretic generators of rational space curves

• Autores: X. Jia, Hao Hao Wang, Ron Goldman
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 45, Nº 4, 2010, págs. 414-433
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We show how to calculate three low degree set-theoretic generators (i.e., algebraic surfaces) for all rational space curves of low degree (degree =6) as well as for all higher degree rational space curves where at least one element of their µ-basis has degree 1 from a µ-basis of the parametrization. In addition to having low degree, at least two of these surface generators are always ruled surfaces. Whenever possible we also show how to compute two set-theoretic complete intersection generators for these rational space curves from a µ-basis of their parametrization.