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Algebraic Pappus Curves

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dc.contributor.advisor Schmidt, Thomas A.
dc.creator Hatase, Tatsuhiko
dc.date.accessioned 2011-09-15T21:17:15Z
dc.date.available 2011-09-15T21:17:15Z
dc.date.copyright 2011-08-24
dc.date.issued 2011-08-24
dc.identifier.uri http://hdl.handle.net/1957/23320
dc.description Graduation date: 2012 en_US
dc.description.abstract 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. en_US
dc.language.iso en_US en_US
dc.subject Pappus Curves en_US
dc.title Algebraic Pappus Curves en_US
dc.type Thesis/Dissertation en_US
dc.degree.name Doctor of Philosophy (Ph. D.) in Mathematics en_US
dc.degree.level Doctoral en_US
dc.degree.discipline Science en_US
dc.degree.grantor Oregon State University en_US
dc.contributor.committeemember Escher, Christine M.
dc.contributor.committeemember Flahive, Mary E.
dc.contributor.committeemember Swisher, Holly
dc.contributor.committeemember Scott, Michael H.
dc.description.peerreview no en_us


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