Browse Dissertations and Theses - Mathematics by Title

  • Watt, Stephen Bruce (1983)
    We study the (narrow) genus group of an abelian extension of number fields using a four term exact sequence of abelian groups derived from work of Frohlich. There are two main results. First, if L/K is a cyclic l-extension, ...

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  • Turnock, James Harold, Jr. (1954)

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  • Kim, Hobum (1990)
    Given a Riemannian foliation ${\cal F}$ on a Riemannian manifold M with a bundle-like metric, geometric and dynamical properties of geodesics orthogonal to the leaves of the foliation are studied.

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  • Lee, Jinsik Mok (1992)
    Suppose that X is a real or complex Banach space with norm $\vert \cdot \vert$. Then X is a Hilbert space if and only if $E\vert x + Y\vert \geq 1$ for all x $\in$ X and all X-valued Bochner integrable functions Y on the ...

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  • Kilmurray, Donough (2000)
    We introduce a new factorization for elements of the loop group LSL2 = SL2( C ((lambda-1))). We then define a new decomposition for the flag manifold FL2 = LSL2/ B+ (= SL2&d14;/B&d14; + ), into isomorphic overlapping ...

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  • Cudia, Dennis Frank (1962)

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  • Sano, Akira (2004)
    For the Demazure desingularization, we investigate a lattice in the smooth locus, give an explicit decomposition formula of its matrix presentation as a product of affine reflections, and construct a smooth projective ...

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  • Morton, Daniel (2012-02-06)
    A GKM manifold is a symplectic manifold with a torus action such that the fixed points are isolated and the isotropy weights at the fixed points are linearly independent. Each GKM manifold has a GKM graph which contains ...

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  • Branson, William Balko (2000)
    This work examines the behavior of meromorphic vector fields k(z) on the plane. The set of trajectories of k(z) whose maximal interval of definition is not all of R is called the incomplete set, and the analysis of ...

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  • Kline, Bradford J. (1995)
    We prove a global result for rational functions that is analogous to a local theorem of L. E. Boettcher (1904). Under the hypotheses that f is a complex rational function with a superattractive fixed point $\alpha$ of order ...

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  • Kydonakis, Georgios A. (2018-04-02)
    For a compact Riemann surface of genus $g\ge 2$, the components of the moduli space of $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-Higgs bundles, or equivalently the $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-character variety, ...

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  • Mauer-Oats, Andrew John (2002)
    We define an "algebraic" version of the Goodwillie tower, Pdn F(X), that depends only on the behaviour of F on coproducts of X. When F is a functor to connected spaces or grouplike H-spaces, the functor Pdn F is the ...

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  • Beder, Jesse (2013-02-03)
    In this thesis, we study Peskine and Szpiro's Grade Conjecture and its connection with asymptotic intersection multiplicity $\chi_\infty$. Given an $A$-module $M$ of finite projective dimension and a system of parameters ...

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  • Weaver, Margaret Lefevre (1988)
    Given an ordering of the vertices of a graph around a circle, a page is a collection of edges forming non-crossing chords. A book embedding is a circular permutation of the vertices together with a partition of the edges ...

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  • Chang, Yi-Wu (1994)
    We introduce star number (tree number) of a graph G, which is the minimum t such that G is the intersection graph of unions of t substars (subtrees) of a host tree. We characterize the graphs with star number 1 and prove ...

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  • Nawaz, Tayyab (2013-05-28)
    We study the graphical analysis for hard to borrow stocks i.e., stock with some constraints such as short selling. The main purpose of this graphical analysis was to introduce some algorithm for calculating the implied ...

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  • Sanders, Robin Sue (1990)
    The graphs on which dihedral, quaternion, and abelian groups act vertex and/or edge transitivity are completely characterized. The vertex transitive graphs belong to one of three families--the well known circulant graphs, ...

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  • Kantor, Ida (2011-01-14)
    \noindent{This thesis focuses on topics in extremal combinatorics.} Given an integer-valued function $f$ defined on the vertices of a graph $G$, we say $G$ is {\em $f$-choosable} if for every collection of lists with ...

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