Birational models for varieties of Poncelet curves

The paper is published: Manuscripta Math. 90 (1996), 105-119

MSC 2000

14H10 Families, moduli (algebraic)

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

Keywords: Poncelet curve