Avancerad sökning

Hittade 3 avhandlingar som matchar ovanstående sökkriterier.

1. 1. On Amoebas and Multidimensional Residues

   Författare :Johannes Lundqvist; Mats Andersson; Martín Sombra; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; amoeba; multidimensional residue; duality principle; effective; uniform; Artin-Rees; Ronkin function; Mathematics; matematik;

   Sammanfattning : This thesis consists of four papers and an introduction. In Paper I we calculate the second order derivatives of the Ronkin function of an affine polynomial in three variables. This gives an expression for the real Monge-Ampére measure associated to the hyperplane amoeba. LÄS MER

3. 2. 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

4. 3. Residue Currents and their Annihilator Ideals

   Författare :Elizabeth Wulcan; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; residue currents; Bochner-Martinelli formula; ideals of holomorphic functions; monomial ideals; coherents sheaves; free resolutions of modules; cellular resolutions; coherents sheaves;

   Sammanfattning : This thesis presents results in multidimensional residue theory. From a generically exact complex of locally free analytic sheaves $\mathcal C$ we construct a vector valued residue current $R^\mathcal C$, which in a sense measures the exactness of $\mathcal C$. LÄS MER