\documentclass[11pt]{amsart} \usepackage[T1]{fontenc} \usepackage{lmodern} \usepackage{amsmath,amssymb,amsthm,mathtools} \usepackage[letterpaper,margin=1.05in]{geometry} \usepackage{microtype} \usepackage{enumitem} \usepackage[dvipsnames]{xcolor} \usepackage{hyperref} \hypersetup{colorlinks=true,linkcolor=MidnightBlue,citecolor=MidnightBlue,urlcolor=MidnightBlue,pdftitle={Ideal generation for general reduced projective points},pdfauthor={Vlado Vojdanovski}} \newtheorem{theorem}{Theorem}[section] \newtheorem{proposition}[theorem]{Proposition} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{corollary}[theorem]{Corollary} \theoremstyle{definition} \newtheorem{definition}[theorem]{Definition} \newtheorem{remark}[theorem]{Remark} \numberwithin{equation}{section} \DeclareMathOperator{\rank}{rank} \DeclareMathOperator{\coker}{coker} \DeclareMathOperator{\Span}{span} \DeclareMathOperator{\im}{im} \DeclareMathOperator{\codim}{codim} \DeclareMathOperator{\Sym}{Sym} \newcommand{\PP}{\mathbf P} \newcommand{\kk}{k} \newcommand{\OO}{\mathcal O} \newcommand{\II}{\mathcal I} \setlength{\emergencystretch}{2em} \raggedbottom \title[Ideal generation for general points]{Ideal generation for general reduced projective points} \author{Vlado Vojdanovski} \date{} \begin{document} \input{introduction} \tableofcontents \input{preliminaries} \input{transfers} \input{integral} \input{fractional} \input{induction} \appendix \input{quadratic} \input{cubic} \input{cubic_determinants} \input{bibliography} \end{document}