On the Structure of μ-Classes

We prove that, if μ < ⌊n/2⌋, then every rational parametrization of degree n and class μ is a limit of parametrizations of the same degree and class μ + 1. This property was conjectured in Cox, D., Sederberg, T., Chen, F. [Cox, D., Sederberg, T., Chen, F. (1998b)] and its validity allows an expli...

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Autor principal: D'Andrea, C.
Formato: JOUR
Materias:
Parametrizations
Rational curves
μ-Bases
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00927872_v32_n1_p159_DAndrea
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00927872_v32_n1_p159_DAndrea
record_format dspace
spelling todo:paper_00927872_v32_n1_p159_DAndrea2023-10-03T14:55:14Z On the Structure of μ-Classes D'Andrea, C. Parametrizations Rational curves μ-Bases We prove that, if μ < ⌊n/2⌋, then every rational parametrization of degree n and class μ is a limit of parametrizations of the same degree and class μ + 1. This property was conjectured in Cox, D., Sederberg, T., Chen, F. [Cox, D., Sederberg, T., Chen, F. (1998b)] and its validity allows an explicit description of the variety of parametrizations of degree n and class μ, for all (n, μ). Fil:D'Andrea, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00927872_v32_n1_p159_DAndrea
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Parametrizations
Rational curves
μ-Bases
spellingShingle Parametrizations
Rational curves
μ-Bases
D'Andrea, C.
On the Structure of μ-Classes
topic_facet Parametrizations
Rational curves
μ-Bases
description We prove that, if μ < ⌊n/2⌋, then every rational parametrization of degree n and class μ is a limit of parametrizations of the same degree and class μ + 1. This property was conjectured in Cox, D., Sederberg, T., Chen, F. [Cox, D., Sederberg, T., Chen, F. (1998b)] and its validity allows an explicit description of the variety of parametrizations of degree n and class μ, for all (n, μ).
format JOUR
author D'Andrea, C.
author_facet D'Andrea, C.
author_sort D'Andrea, C.
title On the Structure of μ-Classes
title_short On the Structure of μ-Classes
title_full On the Structure of μ-Classes
title_fullStr On the Structure of μ-Classes
title_full_unstemmed On the Structure of μ-Classes
title_sort on the structure of μ-classes
url http://hdl.handle.net/20.500.12110/paper_00927872_v32_n1_p159_DAndrea
work_keys_str_mv AT dandreac onthestructureofmclasses
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