% ------------------------------------------------------------------------
% AMS-LaTeX definitions:     Thesis ++++ Alex, September 1994 ************
% ------------------------------------------------------------------------
% Ph.D. Thesis Defended on November 25, 1994
% ------------------------------------------------------------------------
\documentclass[12pt]{report}
\newcommand{\edit}[1]{}
\usepackage[centertags]{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsthm}
\usepackage{amscd}
\usepackage[all]{xy}
\usepackage{newlfont}
\usepackage{xthesis}
\usepackage{xtocinc} %Include Table of Contents as the first entry in TOC
%\usepackage[active]{srcltx}  %SRC Specials for DVI search

\textwidth 15true cm

\textheight 8.65true in

\oddsidemargin 0.25true in

\evensidemargin 0.25true in

%\topmargin -0.5true in

\headsep 0.4true in

% Fuzz -------------------------------------------------------------------
\hfuzz2pt % Don't bother to report over-full boxes if over-edge is < 2pt
% Line spacing -----------------------------------------------------------
\newlength{\defbaselineskip}
\setlength{\defbaselineskip}{\baselineskip} 
\newcommand{\setlinespacing}[1]%
           {\setlength{\baselineskip}{#1 \defbaselineskip}}
\newcommand{\doublespacing}{\setlength{\baselineskip}%
                           {2.0 \defbaselineskip}}
\newcommand{\singlespacing}{\setlength{\baselineskip}{\defbaselineskip}}
% MATH -------------------------------------------------------------------

% THEOREM Environments ---------------------------------------------------
 \newtheorem{thm}{Theorem}[section]
 \newtheorem{cor}[thm]{Corollary}
 \newtheorem{conj}{Conjecture}
 \newtheorem{lem}[thm]{Lemma}
 \newtheorem{prop}[thm]{Proposition}
 \theoremstyle{definition}
 \newtheorem{defn}[thm]{Definition}
 \theoremstyle{remark}
 \newtheorem{rem}[thm]{Remark}
 \numberwithin{equation}{section}
 \newtheorem{example}[thm]{Example}
% MATH -------------------------------------------------------------------
 \DeclareMathOperator{\RE}{Re}
 \DeclareMathOperator{\Reg}{Reg}
 \DeclareMathOperator{\tors}{tors}
 \DeclareMathOperator{\IM}{Im}
 \DeclareMathOperator{\ess}{ess}
 \newcommand{\eps}{\varepsilon}
 \newcommand{\To}{\longrightarrow}
 \newcommand{\h}{\mathcal{H}}
 \newcommand{\s}{\mathcal{S}}
 \newcommand{\A}{\mathcal{A}}
 \newcommand{\J}{\mathcal{J}}
 \newcommand{\M}{\mathcal{M}}
 \newcommand{\W}{\mathcal{W}}
 \newcommand{\X}{\mathcal{X}}
 \newcommand{\BOP}{\mathbf{B}}
 \newcommand{\BH}{\mathbf{B}(\mathcal{H})}
 \newcommand{\KH}{\mathcal{K}(\mathcal{H})}
 \newcommand{\Real}{\mathbb{R}}
 \newcommand{\Complex}{\mathbb{C}}
 \newcommand{\Field}{\mathbb{F}}
 \newcommand{\RPlus}{\Real^{+}}
 \newcommand{\Polar}{\mathcal{P}_{\s}}
 \newcommand{\Poly}{\mathcal{P}(E)}
 \newcommand{\EssD}{\mathcal{D}}
 \newcommand{\Lom}{\mathcal{L}}
 \newcommand{\States}{\mathcal{T}}
 \newcommand{\abs}[1]{\left\vert#1\right\vert}
 \newcommand{\set}[1]{\left\{#1\right\}}
 \newcommand{\seq}[1]{\left<#1\right>}
 \newcommand{\norm}[1]{\left\Vert#1\right\Vert}
 \newcommand{\essnorm}[1]{\norm{#1}_{\ess}}
 \newcommand{\ra}{\rightarrow}
 \newcommand{\Gk}{\textrm{Gal}(\overline{K} / K)}
 \newcommand{\Q}{\mathbb{Q}}
 \newcommand{\C}{\mathbb{C}}
 \newcommand{\R}{\mathbb{R}}
 \newcommand{\Z}{\mathbb{Z}}
 \newcommand{\ds}{\displaystyle}
 \newcommand{\Spc}{\textrm{Spec }}
 \newcommand{\shf}{\mathcal O}
 \newcommand{\Lcal}{\mathcal L}
 \newcommand{\Mcal}{\mathcal M}
 \newcommand{\Pcal}{\mathcal P}
 \newcommand{\prid }[1]{\mathcal #1}
 \newcommand{\Adual}{A^{\vee}}
%%% ----------------------------------------------------------------------

% SHA -------------------------------------------------------------------
 \DeclareFontEncoding{OT2}{}{} % to enable usage of cyrillic fonts
 \newcommand{\textcyr}[1]{%
    {\fontencoding{OT2}\fontfamily{wncyr}\fontseries{m}\fontshape{n}%
     \selectfont #1}}
 \newcommand{\Sha}{{\mbox{\textcyr{Sh}}}}
%%% ----------------------------------------------------------------------

%%% ----------------------------------------------------------------------
\setlength{\tclineskip}{1.05\baselineskip}
%%% ----------------------------------------------------------------------
\begin{document}

\dedicate{To my parents and my grandparents}

\nolistoftables \nolistoffigures

\submitdate{April 2004}

% ------------------------------------------------------------------------

\title{\bf Visible Elements of the Shafarevich-Tate Group}

\author{Dimitar P. Jetchev}


% ------------------------------------------------------------------------
{
\typeout{:?0000} % Don't bother with over/under-full boxes
\beforepreface
\typeout{:?1111} % Process All Errors from Here on
}

{
\typeout{abstract}
\include{Abs}
}

% ------------------------------------------------------------------------
{
\typeout{Acknowledgements}
\include{Ack}
}
% ------------------------------------------------------------------------
\afterpreface
\def\baselinestretch{1}
\setlinespacing{1.0}
% ------------------------------------------------------------------------


% ------------------------------------------------------------------------
\setlinespacing{1.0}
% ------------------------------------------------------------------------

\include{intro}
\include{chapter1}
\include{chapter2}
\include{chapter3}
\include{chapter4}
\include{chapter5}
\include{concl}

% ------------------------------------------------------------------------
%GATHER{xBib.bib}   % For Gather Purpose Only
%GATHER{Thesis.bbl} % For Gather Purpose Only
\setlinespacing{1.44}
\bibliographystyle{amsplain}
\bibliography{was}

\end{document}
% ------------------------------------------------------------------------