Browsing Mathematics by Title
Now showing items 184-188 of 188
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Variation of Instability in Invariant Theory
When a reductive group acts on an algebraic variety, a linearized ample line bundle induces a stratification on the variety where the strata are ordered by the degrees of instability. In this thesis, we study variation of ... -
Visibility and Invisibility in Inverse Problems
In this thesis, we describe two projects dealing with two different aspects of inverse problems. The first project concerns \emph{visibility}, i.e., the problem of reconstructing the internal properties of a medium from ... -
Wild Automorphisms and Abelian Varieties
(2010)An automorphism $\sigma$ of a projective variety $X$ is said to be \textit{wild} if $\sigma(Y)\neq Y$ for every non-empty subvariety $Y\subsetneq X$. In MR2227726 Z. Reichstein, D. Rogalski, and J.J. Zhang conjectured that ... -
The Zeros of Elliptic Curve L-functions: Analytic Algorithms with Explicit Time Complexity
Elliptic curves are central objects of study in modern-day algebraic number theory. The problem of how to determine the rank of a rational elliptic curve is a difficult one, and at the time of the writing of this thesis ... -
Θ-Completeness for Classifying Stacks
We provide a criterion for the classifying stack BGto be Θ-completeover an algebraically closed field of characteristic 0. It is known that the classifying stack BG is Θ-complete when G is a unipotent algebraic group or ...