Graduate Thesis Or Dissertation

 

Algebraic Pappus Curves Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/gx41mm541

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  • We show that Pappus Curves, introduced by R. Schwartz to study his dynamical system in the real projective plane generated by iterated applications of the classical Pappus Theorem, are algebraic exactly in the linear case. Our approach is to use properties of projective curves such as singular points, genus, number of automorphisms and to apply elementary invariant theory. As a complement, we study fixed points of projective transformations of order four.
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