Sökning: "toric variety"

Hittade 3 avhandlingar innehållade orden toric variety.

1. 1. Toric varieties and residues

   Författare :Alexey Shchuplev; Mikael Passare; Alekos Vidras; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; toric variety; residue; residue current; integral representation; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Sammanfattning : The multidimensional residue theory as well as the theory of integral representations for holomorphic functions is a very powerful tool in complex analysis. The computation of integrals, solving algebraic or differential equations is usually reduced to some residue integral. LÄS MER

3. 2. Topics in Combinatorial Algebraic Geometry

   Författare :Anders Lundman; Sandra Di Rocco; Giorgio Ottaviani; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : This thesis consists of six papers in algebraic geometry –all of which have close connections to combinatorics. In Paper A we consider complete smooth toric embeddings X ↪ P^N such that for a fixed positive integer k the t-th osculating space at every point has maximal dimension if and only if t ≤ k. LÄS MER

4. 3. 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