Algebraic Pappus Curves

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