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A Note on plane rational curves and the associated Poncelet Surfaces
Bernardi, Alessandra
Gimigliano, Alessandro
Idà, Monica
2015
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e-ISSN
2464-8728
Abstract
We consider the parametrization (f0, f1, f2) of plane
rational curve c, and we want to relate the splitting type of C (i.e.
the second Betti numbers of the ideal (f0, f1, f2) with the
singularities of the associated Poncelet surface in p3. We are able of doing this for Ascenzi curves, thus generalizing a result in [8] in the
case of plane curves. Moreover we prove that if the Poncelet surface
s C p3 is singular then it is associated with a curve C which possesses
at least a point of multiplicity >_ 3.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
47 (2015)
Subjects
Publisher
EUT Edizioni Università di Trieste
Languages
en
File(s)