% macros for bsd.tex extracted from macros.tex \newcommand{\defn}[1]{{\em #1}} \newcommand{\an}{{\rm an}} \newcommand{\e}{\mathbf{e}} \newcommand{\Sha}{{\mbox{\textcyr{Sh}}}} \newcommand{\Sha}{{\cyr X}} \newcommand{\la}{\leftarrow} \newcommand{\da}{\downarrow} \newcommand{\set}[1]{\{#1\}} \newcommand{\Q}{\mathbb{Q}} \newcommand{\R}{\mathbb{R}} \newcommand{\K}{{\mathbb K}} \newcommand{\dual}{\bot} \newcommand{\Z}{\mathbb{Z}} \newcommand{\F}{\mathbb{F}} \newcommand{\h}{\mathfrak{h}} \newcommand{\p}{\mathfrak{p}} \newcommand{\m}{\mathfrak{m}} \newcommand{\pari}{{\sc Pari}} \newcommand{\magma}{{\sc Magma}} \newcommand{\hd}[1]{\vspace{1ex}\noindent{\bf #1} } \renewcommand{\Re}{\mbox{\rm Re}} \renewcommand{\L}{\mathcal{L}} \renewcommand{\l}{\ell} \renewcommand{\t}{\tau} \renewcommand{\O}{\mathcal{O}} \renewcommand{\a}{\mathfrak{a}} \renewcommand{\H}{\HH} \DeclareMathOperator{\im}{im} \DeclareMathOperator{\Reg}{Reg} \DeclareMathOperator{\Sel}{Sel} \DeclareMathOperator{\Re}{Re} \DeclareMathOperator{\new}{new} \DeclareMathOperator{\tor}{tor} \DeclareMathOperator{\Ker}{Ker} \DeclareMathOperator{\ord}{ord}