Birational models for varieties of Poncelet curves
Abstract
We consider Poncelet pairs $(S,C)$, where $S$ is a smooth conic and $C$ is a degree$c$ plane curve having the Poncelet property with respect to $S$. We prove that for $c>4$ the projection $(S,C)\mapsto C$ is generically onetoone and use this to describe a birational model of the variety of Poncelet curves for $c$ odd.
 Publication:

arXiv eprints
 Pub Date:
 January 1996
 arXiv:
 arXiv:alggeom/9601002
 Bibcode:
 1996alg.geom..1002T
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 revised TeXversion, latex2e