Birational models for varieties of Poncelet curves

Details Birational models for varieties of Poncelet curves Birational models for varieties of Poncelet curves

1996-01-03

arxiv.org/abs/alg-geom/9601002v3

Mathematics

Algebraic Geometry

revised TeX-version, latex2e

Scientific paper

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 one-to-one
and use this to describe a birational model of the variety of Poncelet curves
for $c$ odd.

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