Sökning: "ample line bundle"

Hittade 3 avhandlingar innehållade orden ample line bundle.

1. 1. Multipoint Okounkov bodies

   Författare :Antonio Trusiani; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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

4. 3. Pluripotential-theoretic methods in K-stability and the space of Kähler metrics

   Författare :Mingchen Xia; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; quasi-plurisubharmonic functions; K-stability; cscK metrics;

   Sammanfattning : It is a natural problem, dating back to Calabi, to find canonical metrics on complex manifolds. In the case of polarized compact Kähler manifolds, a natural candidate is a metric with constant scalar curvature (cscK metric). LÄS MER