Birational models for varieties of Poncelet curves |
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| Authors: | Matei Toma |
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| Institution: | 1. Fachbereich Mathematik/Informatik, Universit?t Osnabrück, 49069, Osnabrück, Germany
2. Institute of Mathematics of the Roumanian Academy, P. O. Box 1-764, RO-70700, Bucharest, Romania
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| Abstract: | We consider Poncelet pairs (S,C), whereS is a smooth conic andC is a degree—c plane curve having the Poncelet property with respect toS. We prove that forc>4 the projection (S,C)→C is generically one-to-one and use this to describe a birational model of the variety of Poncelet curves forc odd. |
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