Mathematisch-Naturwissenschaftliche Fakultät: Suche
Anzeige der Dokumente 1-10 von 80
Arithmetic structures on noncommutative tori with real multiplication
(2007)
We study the homogeneous coordinate rings of real multiplication noncommutative tori as defined by A. Polishchuk. Our aim is to understand how these rings give rise to an arithmetic structure on the noncommutative torus. ...
Zur Kohomologie und Spektraltheorie des Hodge-Laplaceoperators von Mannigfaltigkeiten mit gefaserter Spitzenmetrik
(2009-06-23)
Eine Mannigfaltigkeit X mit gefaserter Spitzenmetrik kann als Verallgemeinerung der geometrischen Struktur von lokal-symmetrischen Räumen vom Q-Rang Eins angesehen werden.
In der vorliegenden Arbeit ...
In der vorliegenden Arbeit ...
On Rho Invariants of Fiber Bundles
(2009-07-21)
Using adiabatic limits of Eta invariants, Rho invariants of the total space of a fiber bundle are investigated. One concern is to formulate the aspects of local index theory for families of Dirac operator in terms of the ...
Multiskalen-Verfahren für Konvektions-Diffusions Probleme
(2001)
In dieser Arbeit werden erstmalig über einen zur Nichtstandardform gehörenden Erzeugendensystem-Ansatz robuste Wavelet-basierte Multiskalen-Löser für allgemeine zweidimensionale stationäre Konvektions-Diffusions-Probleme ...
Theory and Practice of VLSI Placement
(2006)
Placement is a crucial step in the design process of VLSI chips as it has a strong influence on the most important optimization goals, e.g., die size, routability, and cycle time. State-of-the-art logic chips consist of ...
Pattern, Walls and Vortex: A micromagnetic excursion
(2009-11-05)
In this thesis, we analyse two different settings in the micromagnetic model, which is a mesoscopic variational model for the description of ferromagnets, more precisely the magnetisation m, which is a local average of ...
On the notion of order in the stable module category
(2009-12-22)
The notion of order in triangulated categories, as introduced by Schwede, is investigated in the case of the stable category of kG-modules, where k is a field of characteristic p and G is a ...
Inverse spectral theory and relative determinants of elliptic operators on surfaces with cusps
(2009-01-29)
This thesis concerns relative determinants for Laplacians on surfaces with asymptotically cusps ends and the inverse spectral problem on surfaces with cusps. We consider $(M,g)$, a surface with cusps, and a metric on the ...
Stability conditions on derived categories
(2008)
My thesis is divided into two parts. In the first part I consider stability conditions on the derived category of complex manifolds without any nontrivial subvarieties. In particular, I construct and classify stability ...
Einbettungen von logarithmischen Morrey-Räumen
(2008)
Die Arbeit befasst sich mit Verfeinerungen der Einbettungssätze von Morrey, Marcinkiewicz-Stampaccia und Trudinger. Es geht um die Frage, inwieweit Morrey-Bedingungen für die Ableitungen eine Funktion zu besseren als ...
