Reparametrizing Swung Surfaces over the Reals

Let K⊆R be a computable subfield of the real numbers (for instance, Q). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in K(i), can be reparametrized over a real (i.e., embedded in R) finite field extension of K. Swung surfaces includ...

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Detalhes bibliográficos
Autores: Andradas, Carlos, Recio Muñiz, Tomás|||0000-0002-1011-295X, Sendra Pons, Juan Rafael, Tabera Alonso, Luis Felipe|||0000-0002-7876-4313, Villarino Cabellos, Carlos
Formato: artículo
Fecha de publicación:2014
País:España
Recursos:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/5394
Acesso em linha:http://hdl.handle.net/10902/5394
Access Level:acceso abierto
Palavra-chave:Swung surfaces
Revolution surfaces
Real and complex surfaces
Rational parametrization
Ultraquadrics
Descrição
Resumo:Let K⊆R be a computable subfield of the real numbers (for instance, Q). We present an algorithm to decide whether a given parametrization of a rational swung surface, with coefficients in K(i), can be reparametrized over a real (i.e., embedded in R) finite field extension of K. Swung surfaces include, in particular, surfaces of revolution.