Sökning: "Okounkov body"

Hittade 2 avhandlingar innehållade orden Okounkov body.

1. 1. Multipoint Okounkov bodies

   Författare :Antonio Trusiani; Chalmers University of Technology; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Seshadri constant; Okounkov body; Projective manifold; symplectic packings; Kähler geometry; ample line bundle;

   Sammanfattning : During the nineties, the field medallist Okounkov found a way to associate to an ample line bundle L over an n−complex dimensional projective manifold X a convex body in Rn, now called Okounkov body ∆(L). The construction depends on the choice of a valuation centered at one point p∈X and it works even if L is a big line bundle. LÄS MER

3. 2. Okounkov bodies and geodesic rays in Kähler geoemtry

   Författare :David Witt Nyström; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   Nyckelord :Okounkov bodies; Kähler geometry; Legendre transform; Monge-Ampère operator; Okounkov bodies;

   Sammanfattning : This thesis presents three papers dealing with questions in Kähler geometry. In the first paper we construct a transform, called the Chebyshev transform, which maps continuous hermitian metrics on a big line bundle to convex functions on the associated Okounkov body. LÄS MER