Sökning: "local analytic geometry"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden local analytic geometry.
1. Multipoint Okounkov bodies, strong topology of ω-plurisubharmonic functions and Kähler-Einstein metrics with prescribed singularities
Sammanfattning : The most classical topic in Kähler Geometry is the study of Kähler-Einstein metrics as solution of complex Monge-Ampère equations. This thesis principally regards the investigation of a strong topology for ω-plurisubharmonic functions on a fixed compact Kähler manifold (X,ω), its connection with complex Monge-Ampère equations with prescribed singularities and the consequent study of singular Kähler-Einstein metrics. LÄS MER
2. Residue currents on singular varieties
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
3. Quaternionic Transgression in Hyperkähler Geometry
Sammanfattning : It is known, that hyperkähler varieties being a special case of Riemann and Kähler manifolds, admit more symmetries. For this reason, all important structures possibly admit hyperkähler generalization. Some of these generalizations make a theme of this thesis. LÄS MER
4. Some Analytic generalizations of the Briancon-Skoda Theorem
Sammanfattning : The Brian\c con-Skoda theorem appears in many variations in recent literature. The common denominator is that the theorem gives a sufficient condition that implies a membership $\phi\in \ideala^l$, where $\ideala$ is an ideal of some ring $R$. LÄS MER
5. Three-dimensional analysis of aeromagnetic and gravimetric data of sedimentary basins from Panama, Central America
Sammanfattning : The knowledge of the geology of the sedimentary basins from the Gulf of Panama is still quite limited. There is a lack of data from the basin geometry, the thickness, the continuity and connection between the basins, and from the characteristics of the crystalline basement rocks beneath the sedimentary basins. LÄS MER
