On the structure of mu-classes

Details On the structure of mu-classes On the structure of mu-classes

2002-04-15

arxiv.org/abs/math/0204177v3

Communications in Algebra, Vol. 32, No.1 159-165, 2004.

Mathematics

Algebraic Geometry

6 pages, revised version accepted for publication in Communications in Algebra

Scientific paper

We prove that, if \mu<\lfloor n/2\rfloor, then every rational plane curve of degree n and class \mu is a limit of parametrizations of the same degree and class \mu+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 \mu, for all (n,\mu).

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