Now showing items 1-3 of 3

    • Compact Moduli of Surfaces in Three-Dimensional Projective Space 

      DeVleming, Kristin Elizabeth
      The main goal of this paper is to construct a compactification of the moduli space of degree $d \ge 5$ hypersurfaces in $\mathbb{P}^3$, i.e. a parameter space whose interior points correspond to (equivalence classes of) ...
    • Problems in Algebraic Vision 

      Lee, Hon Leung
      This thesis studies several fundamental mathematical problems that arise from computer vision using techniques in algebraic geometry and optimization. Chapters 2 and 3 consider the fundamental question of the existence of ...
    • Results on singularities of pairs 

      Prelli, Lorenzo
      Singularities of algebraic varieties have been studied extensively, and recently also the properties of singularities of pairs have been investigated. This thesis presents several results on singularities of different kinds ...