A partial solution to the problem of proper reparametrization for rational surfaces
Given an algebraically closed field K, and a rational parametrization P of an algebraic surface V ⊂ K3 , we consider the problem of computing a proper rational parametrization Q from P (reparametrization problem). More precisely, we present an algorithm that computes a rational parametriza...
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| Tipo de documento: | artigo |
| Data de publicação: | 2013 |
| País: | España |
| Recursos: | Universidad de Alcalá (UAH) |
| Repositório: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglês |
| OAI Identifier: | oai:ebuah.uah.es:10017/49562 |
| Acesso em linha: | http://hdl.handle.net/10017/49562 https://dx.doi.org/10.1016/j.cagd.2013.06.003 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Proper reparametrization Rational surface Degree of a rational map Matemáticas Mathematics |
| Resumo: | Given an algebraically closed field K, and a rational parametrization P of an algebraic surface V ⊂ K3 , we consider the problem of computing a proper rational parametrization Q from P (reparametrization problem). More precisely, we present an algorithm that computes a rational parametrization Q of V such that the degree of the rational map induced by Q is less than the degree induced by P. The properness of the output parametrization Q is analyzed. In particular, if the degree of the map induced by Q is one, then Q is proper and the reparametrization problem is solved. The algorithm works if at least one of two auxiliary parametrizations defined from P is not proper. |
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