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 incl...
| Authors: | , , , , |
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| Format: | article |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universidad de Alcalá (UAH) |
| Repository: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Language: | English |
| OAI Identifier: | oai:ebuah.uah.es:10017/20448 |
| Online Access: | http://hdl.handle.net/10017/20448 https://dx.doi.org/10.1007/s00200-014-0215-6 |
| Access Level: | Open access |
| Keyword: | Swung surfaces Revolution surface Real and complex surfaces 8 rational parametrization Ultraquadrics Ciencia Matemáticas Science Mathematics |
| Summary: | 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. |
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