Algebraic Pappus Curves Public Deposited

http://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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  • description.provenance : Approved for entry into archive by Julie Kurtz(julie.kurtz@oregonstate.edu) on 2011-09-15T16:21:07Z (GMT) No. of bitstreams: 1 Tatsuhiko Hatase - Thesis.pdf: 509701 bytes, checksum: 744385ab2ea872a805bb0ff856b05504 (MD5)
  • description.provenance : Approved for entry into archive by Laura Wilson(laura.wilson@oregonstate.edu) on 2011-09-15T21:17:15Z (GMT) No. of bitstreams: 1 Tatsuhiko Hatase - Thesis.pdf: 509701 bytes, checksum: 744385ab2ea872a805bb0ff856b05504 (MD5)
  • description.provenance : Made available in DSpace on 2011-09-15T21:17:15Z (GMT). No. of bitstreams: 1 Tatsuhiko Hatase - Thesis.pdf: 509701 bytes, checksum: 744385ab2ea872a805bb0ff856b05504 (MD5) Previous issue date: 2011-08-24
  • description.provenance : Submitted by Tatsuhiko Hatase (hataset@onid.orst.edu) on 2011-09-14T19:12:13Z No. of bitstreams: 1 Tatsuhiko Hatase - Thesis.pdf: 509701 bytes, checksum: 744385ab2ea872a805bb0ff856b05504 (MD5)

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