• Smooth Complete Intersections with Positive-Definite Intersection Form 

      Smirnov, Ilia (2012-10-16)
      We classify the smooth complete intersections with positive-definite intersection form on their middle cohomology. There are two families. The first family are quadric hypersurfaces in P(4k+1) with k a positive integer. ...
    • Tilting objects in derived categories of equivariant sheaves 

      Brav, Christopher (2008-09-05)
      We construct classical tilting objects in derived categories of equivariant sheaves on quasi-projective varieties, which give equivalences with derived categories of modules over algebras. Our applications include a ...
    • Topics related to vector bundles on abelian varieties 

      Grieve, Nathan (2013-06-25)
      This thesis is comprised of three logically independent parts. As the title suggests, each part is related to vector bundles on abelian varieties. We first use Brill-Noether theory to study the geometry of a general ...