Fakultät für Mathematik und Wirtschaftswissenschaften
https://oparu.uni-ulm.de/xmlui/handle/123456789/4
2018-02-24T16:13:59ZDie Publizität nachhaltigkeitsbezogener Informationen - eine empirische Analyse
https://oparu.uni-ulm.de/xmlui/handle/123456789/5553
Die Publizität nachhaltigkeitsbezogener Informationen - eine empirische Analyse
Lehmann, Kristina
2017-01-01T00:00:00ZRisk analysis of annuity conversion options with a special focus on decomposing risk
https://oparu.uni-ulm.de/xmlui/handle/123456789/5548
Risk analysis of annuity conversion options with a special focus on decomposing risk
Schilling, Katja
2017-01-01T00:00:00ZDomination and forcing
https://oparu.uni-ulm.de/xmlui/handle/123456789/5485
Domination and forcing
Gentner, Michael
This thesis comprises the results of five research papers on domination and zero forcing.
In "Largest Domination Number and Smallest Independence Number of Forests with given Degree Sequence" (Gentner, Henning, Rautenbach, 2016) and "Smallest Domination Number and Largest Independence Number of Graphs and Forests with given Degree Sequence" (Gentner, Henning, Rautenbach, 2017) we examine best possible bounds for the domination number, based on the degree sequence of a graph.
In some cases these bounds coincide with the Slater number of the sequence, which is a simple lower bound for the domination number.
In "Some Comments on the Slater number" (Gentner, Rautenbach, 2017), we explore some more results involving the Slater number.
Particularly, we determine graph classes for which the domination number is bounded from above by a term that is linear in the Slater number.
In "Extremal values and bounds for the zero forcing number" (Gentner, Penso, Souza, Rautenbach, 2016) we prove two conjectures on the zero forcing number.
One of these conjectures is a special case of another one, which we partially prove in "Some Bounds on the Zero Forcing Number of a Graph" (Gentner, Rautenbach, 2016).
Additionally, we establish further bounds for the zero forcing number using different techniques.
Apart from these papers, we explain the original motivation for the zero forcing problem and its connection to domination.
While the origins of zero forcing lie in algebraic graph theory and physics, a lot of other applications can be found.
One of these is the power domination problem, which also establishes the connection between domination and zero forcing.
2018-02-07T00:00:00ZResolution of tame cyclic quotient singularities on fibered surfaces
https://oparu.uni-ulm.de/xmlui/handle/123456789/5481
Resolution of tame cyclic quotient singularities on fibered surfaces
Steck, Christian
In this thesis we study the resolution of cyclic quotient singularities on fibered surfaces,
i.e. given a cyclic quotient X, we are concerned with finding a regular modification X of X.
This is done by adapting the classical Hirzebruch–Jung resolution procedure to the arithmetic setting.
We show that, under mild assumptions and after an étale extension, a resolution of Hirzebruch–Jung type exists and we provide an explicit construction.
As an application we consider curves over a local field that admit a semistable regular model Y after a finite tame Galois extension with Galois group G.
We show that the singularities of Y/G are always cyclic quotient singularities and that they fulfill the necessary prerequisites to apply our Hirzebruch–Jung resolution procedure.
Further, we use this theory to obtain the classical Kodaira classification of elliptic curves that have good reduction after a finite tame extension.
2018-02-06T00:00:00Z