Rational plane curves parameterizable by conics

Details Rational plane curves parameterizable by conics Rational plane curves parameterizable by conics

2011-04-14

arxiv.org/abs/1104.2782v2

Mathematics

Algebraic Geometry

28 pages, 1 figure. Improvements on Section 3

Scientific paper

We introduce the class of rational plane curves parameterizable by conics as an extension of the family of curves parameterizable by lines or monoid curves. We show that they are the image of monoid curves via suitable quadratic transformations in the projective plane. We also describe all the possible proper parameterizations of them, and a set of minimal generators of the Rees Algebra associated to these parameterizations, extending well-known results for curves parameterizable by lines.

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