Now showing items 1-5 of 5

    • Abelian Arrangements 

      Bibby, Christin (University of Oregon, 2015-08-18)
      An abelian arrangement is a finite set of codimension one abelian subvarieties (possibly translated) in a complex abelian variety. We are interested in the topology of the complement of an arrangement. If the arrangement ...
    • Faithful tropicalization of hypertoric varieties 

      Kutler, Max (University of Oregon, 2017-09-06)
      The hypertoric variety M_A defined by an arrangement A of affine hyperplanes admits a natural tropicalization, induced by its embedding in a Lawrence toric variety. In this thesis, we explicitly describe the polyhedral ...
    • GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O 

      Hilburn, Justin (University of Oregon, 2016-10-27)
      In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Ka ...
    • Group Actions on Hyperplane Arrangements 

      Moseley, Daniel (University of Oregon, 2012)
      In this dissertation, we will look at two families of algebras with connections to hyperplane arrangements that admit actions of finite groups. One of the fundamental questions to ask is how these decompose into irreducible ...
    • Zonotopes and Hypertoric Varieties 

      Arbo, Matthew (University of Oregon, 2016-02-23)
      Hypertoric varieties are a class of conical symplectic resolutions which are very computable. In the current literature, they are only defined constructively, using hyperplane arrangements. We provide an abstract definition ...