Birational reparameterizations of surfaces
Given a unirational parameterization of a surface, we present a general algorithm to determine a birational parameterization without using parameterization algorithms. Additionally, if the surface is assumed to have a birational parameterization with empty base locus, and the input parameterization...
| Authors: | ; ; |
|---|---|
| Format: | Article |
| Publication date: | 2024 |
| Country: | España |
| Institution: | Universidad de Alcalá (UAH) |
| Repository: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Language: | English |
| OAI Identifier: | oai:ebuah.uah.es:10017/62300 |
| Online Access: | http://hdl.handle.net/10017/62300 https://dx.doi.org/10.1007/s13398-024-01609-9 |
| Access Level: | Open access |
| Keyword: | Birational (proper) parameterizations Reparameterization algorithm Base points Generic fibers Matemáticas Mathematics |
| Summary: | Given a unirational parameterization of a surface, we present a general algorithm to determine a birational parameterization without using parameterization algorithms. Additionally, if the surface is assumed to have a birational parameterization with empty base locus, and the input parameterization is transversal, the degree of the solution is determined in advance and the dimension of the space of solutions is reduced. As a consequence, for these cases, we present a second faster algorithm. |
|---|