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On the structure of mu-classes

Carlos D'Andrea
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Abstract

We prove that, if μ<\lfloor n/2\rfloor, then every rational plane curve of degree n and class μis a limit of parametrizations of the same degree and class μ+1. This property was conjectured in D.Cox, T.Sederberg,F.Chen's paper: "The moving line ideal basis of planar rational curves" (Comput. Aided Geom. Des. 15 (1998), 803-827), and its validity allows an explicit description of the variety of parametrizations of degree n and class μ, for all (n,μ).

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Carlos D'Andrea. 2002-09-06. On the structure of mu-classes. https://arxiv.org/abs/math/0204177

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