Sökning: "residue"

Visar resultat 1 - 5 av 577 avhandlingar innehållade ordet residue.

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. Residue currents on singular varieties

   Författare :Richard Lärkäng; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; weakly holomorphic functions; duality theorem; Coleff-Herrera products; Bochner-Martinelli currents; residue currents; singular varieties; analytic spaces; local analytic geometry; residue currents;

   Sammanfattning : This thesis concerns various aspects of the theory of residue currents. Particularly, we study residue currents on singular varieties and duality theorems for such currents. On a singular variety, there are various notions of holomorphic functions. LÄS MER

4. 3. Residue currents on analytic spaces

   Författare :Richard Lärkäng; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; analytic spaces; weakly holomorphic functions; residue currents; Coleff-Herrera products; the duality theorem; weakly holomorphic functions;

   Sammanfattning : This thesis concerns residue currents on analytic spaces. In the first paper, we construct Coleff-Herrera products and Bochner-Martinelli type currents associated with a weakly holomorphic mapping, and show that these currents satisfy well-known properties from the strongly holomorphic case. LÄS MER

5. 4. 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

7. 5. Residue fixed point index and wildly ramified power series

   Författare :Jonas Nordqvist; Karl-Olof Lindahl; Robert Laurent Benedetto; Linnéuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; wildly ramified power series; residue fixed point index; formal invariant; iterative residue; ramification numbers; non-archimedean; discrete dynamical systems; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

   Sammanfattning : This thesis concerns discrete dynamical systems. These are systems where the dynamics is modeled by iterated functions. There are several applications of discrete dynamical system e.g. LÄS MER