Sökning: "Milagros Izquierdo"
Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Milagros Izquierdo.
1. Kähler-Poisson Algebras
Sammanfattning : The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. LÄS MER
2. Kähler-Poisson Algebras
Sammanfattning : In this thesis, we introduce Kähler-Poisson algebras and study their basic properties. The motivation comes from differential geometry, where one can show that the Riemannian geometry of an almost Kähler manifold can be formulated in terms of the Poisson algebra of smooth functions on the manifold. LÄS MER
3. Coherent functors and asymptotic properties
Sammanfattning : In this thesis we study properties of the so called coherent functors. Coherent functors were first introduced by Auslander in 1966 in a general setting. LÄS MER
4. Half–Exact Coherent Functors over PIDs and Dedekind Domains
Sammanfattning : The focus of this thesis is to characterize half–exact coherent functors over principal ideal domains (PIDs) and Dedekind domains. Ever since they where discovered, coherent functors have been useful in the study of some mathematical objects. We aim to explore a little more about them in this thesis. LÄS MER
5. On the Branch Loci of Moduli Spaces of Riemann Surfaces
Sammanfattning : The spaces of conformally equivalent Riemann surfaces, Mg where g ≥ 1, are not manifolds. However the spaces of the weaker Teichmüller equivalence, Tg are known to be manifolds. The Teichmüller space Tg is the universal covering of Mg and Mg is the quotient space by the action of the modular group. LÄS MER
