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Browse Dissertations and Theses  Mathematics by Contributor "Katz, Sheldon"
Now showing items 17 of 7

(20140530)The Hilbert scheme of $n$ points in a smooth del Pezzo surface $S$ parameterizes zerodimensional subschemes with length $n$ on $S$. We construct a flat family of deformations of Hilb$^n S$ which can be conceptually ...
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(20120918)This thesis consists of three parts. In the first part, we compute the topological Euler characteristics of the moduli spaces of stable sheaves of dimension one on the total space of rank 2 bundle on P1 whose determinant ...
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(2006)We consider the problem of constructing K3fibered and elliptically fibered CalabiYau threefolds over P1 and P2 respectively. We first show how to write weighted projective space bundles as toric varieties. We then ...
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(20170710)In this thesis we mainly consider supermanifolds and super Hilbert schemes. In the first part of this dissertation, we construct the Hilbert scheme of $0$dimensional subspaces on dimension $1  1$ supermanifolds. By ...
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(20100820)In this thesis, we first use the ${\mathbb C^*}^2$action on the Hilbert scheme of two points on a Hirzebruch surface to compute all onepointed and some twopointed GromovWitten invariants via virtual localization, then ...
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(20170705)Suppose $f(x,y)$ is a binary form of degree $d$ with coefficients in a field $K \subseteq \cc$. The {\it $K$rank of $f$} is the smallest number of $d$th powers of linear forms over $K$ of which $f$ is a $K$linear ...
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(20110825)This thesis is composed of two parts. In the first part we introduce a higher rank analog of the PandharipandeThomas theory of stable pairs on a CalabiYau threefold $X$. More precisely, we develop a moduli theory for ...
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Now showing items 17 of 7