58 lines
No EOL
1.6 KiB
TeX
58 lines
No EOL
1.6 KiB
TeX
\newcommand{\A}{\mathbb{A}}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\length}{\ell}
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\newcommand{\mfa}{\mathfrak{a}}
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\newcommand{\mfb}{\mathfrak{b}}
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\newcommand{\mfd}{\mathfrak{d}}
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\newcommand{\mfm}{\mathfrak{m}}
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\newcommand{\mfn}{\mathfrak{n}}
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\newcommand{\mfp}{\mathfrak{p}}
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\newcommand{\mfq}{\mathfrak{q}}
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\newcommand{\mfr}{\mathfrak{r}}
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\newcommand{\mfs}{\mathfrak{s}}
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\newcommand{\mfP}{\mathfrak{P}}
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\newcommand{\mfQ}{\mathfrak{Q}}
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\newcommand{\bmx}{\bm{\mathrm{x}}}
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\newcommand{\bmy}{\bm{\mathrm{y}}}
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\newcommand{\bmX}{\bm{\mathrm{X}}}
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\newcommand{\mcI}{\mathcal{I}}
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\newcommand{\mcM}{\mathcal{M}}
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\newcommand{\mcN}{\mathcal{N}}
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\newcommand{\mcO}{\mathcal{O}}
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\newcommand{\mcZ}{\mathcal{Z}}
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\DeclareMathOperator{\mcTor}{\mathcal{T}\!\mathit{or}}
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\DeclareMathOperator{\Ann}{Ann}
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\DeclareMathOperator{\Ch}{Ch}
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\DeclareMathOperator{\codim}{codim}
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\DeclareMathOperator{\coker}{coker}
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\DeclareMathOperator{\Ext}{Ext}
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\DeclareMathOperator{\globdim}{globdim}
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\DeclareMathOperator{\gr}{gr}
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\DeclareMathOperator{\height}{ht}
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\DeclareMathOperator{\map}{map}
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\DeclareMathOperator{\Mod}{Mod}
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\DeclareMathOperator{\Quot}{Quot}
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\DeclareMathOperator{\Rad}{Rad}
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\DeclareMathOperator{\rk}{rk}
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\DeclareMathOperator{\Spec}{Spec}
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\DeclareMathOperator{\Supp}{Supp}
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\DeclareMathOperator{\Tor}{Tor}
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\newcommand{\hatotimes}{\mathbin{\widehat{\otimes}}}
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\DeclareMathOperator{\BTor}{\mathbf{Tor}}
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\DeclareMathOperator{\ITor}{\mathit{Tor}}
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\DeclareMathOperator{\pplus}{\phantom{+}}
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\DeclareMathOperator{\poplus}{\phantom{\oplus}}
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\DeclareMathOperator{\peq}{\phantom{=}}
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\usepackage{color}
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\newcommand{\todo}[1]{\marginpar{\color{red}#1}} |