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An arithmetic construction of the Gaussian and Eisenstein topographs

  • Author(s): Shelley, Christopher David
  • Advisor(s): Weissman, Martin
  • Cooperstein, Bruce
  • et al.
Abstract

We demonstrate a purely arithmetic construction of the Eisenstein and Gaussian topographs of Bestvina and Savin. Influenced by Conway's approach, we recover these topographs as incidence geometries over sets of ''generalized lax bases". We use the results of Johnson and Weiss to identify our constructions with the Coxeter geometries arising from projective general linear groups.

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