orbiAlb4/orbiAlb4.tex

\documentclass[a4paper, british]{amsart}

%
% Local font definitions -- need to come first
%
\usepackage{libertine}
\usepackage[libertine]{newtxmath}

%
% Standard macro packages
%
\input{../gfx/stdPreamble}
\input{../gfx/paperVersion-working}
\input{../gfx/varphi}
\graphicspath{{../}}

\usepackage{cancel}
\usepackage{tikz-cd}
\tikzset{commutative diagrams/arrow style=tikz}
\selectlanguage{british}

%
% Author info
%

\author{Daniel Greb}
\address{Daniel Greb, Essener Seminar für Algebraische Geometrie und Arithmetik, Fakultät für Ma\-the\-matik, Universität Duisburg--Essen, 45117 Essen, Germany}
\email{\href{mailto:daniel.greb@uni-due.de}{daniel.greb@uni-due.de}}
\urladdr{\href{https://www.esaga.uni-due.de/daniel.greb}{https://www.esaga.uni-due.de/daniel.greb}}

\author{Stefan Kebekus}
\address{Stefan Kebekus, Mathematisches Institut, Albert-Ludwigs-Universität Freiburg, Ernst-Zermelo-Straße 1, 79104 Freiburg im Breisgau, Germany}
\email{\href{mailto:stefan.kebekus@math.uni-freiburg.de}{stefan.kebekus@math.uni-freiburg.de}}
\urladdr{\href{https://cplx.vm.uni-freiburg.de}{https://cplx.vm.uni-freiburg.de}}

\author{Thomas Peternell}
\address{Thomas Peternell, Mathematisches Institut, Universität
  Bayreuth, 95440~Bayreuth, Germany}
\email{\href{mailto:thomas.peternell@uni-bayreuth.de}{thomas.peternell@uni-bayreuth.de}}
\urladdr{\href{http://www.komplexe-analysis.uni-bayreuth.de}{http://www.komplexe-analysis.uni-bayreuth.de}}

\thanks{\todo{FUNDING INFO PENDING}}

\keywords{$\cC$-pairs, morphisms of $\cC$-pairs, \foreignlanguage{french}{orbifoldes géométriques}, Campana constellations}

\subjclass[2020]{32C99, 32H99}

\title{The $\cC$-Albanese for projective manifolds}
\date{\today}

\makeindex

\makeatletter
\hypersetup{
  pdfauthor={\authors},
  pdftitle={\@title},
  pdfsubject={\@subjclass},
  pdfkeywords={\@keywords},
  pdfstartview={Fit},
  pdfpagelayout={TwoColumnRight},
  pdfpagemode={UseOutlines},
  bookmarks,
  colorlinks,
  linkcolor=linkblue,
  citecolor=linkred,
  urlcolor=linkred
}
\makeatother

\DeclareMathOperator{\alb}{alb}
\DeclareMathOperator{\Alb}{Alb}
\DeclareMathOperator{\Branch}{Branch}
\DeclareMathOperator{\diff}{d}
\DeclareMathOperator{\Div}{Div}
\DeclareMathOperator{\Fix}{Fix}
\DeclareMathOperator{\Gal}{Galois}
\DeclareMathOperator{\lu}{lu}
\DeclareMathOperator{\mult}{mult}
\DeclareMathOperator{\nc}{nc}
\DeclareMathOperator{\orb}{orb}
\DeclareMathOperator{\ord}{ord}
\DeclareMathOperator{\snc}{snc}
\DeclareMathOperator{\Hol}{Hol}
\DeclareMathOperator{\ram}{ram}
\DeclareMathOperator{\Supp}{Supp}
\DeclareMathOperator{\trace}{trace}
\newcommand{\TOp}{{\sf T}}
\DeclareMathOperator{\logp}{log⁺}

\def\suchthat{
  \mathchoice
  {\mathrel{\textsl{\Large|}}}
  {\mathrel{\textsl{\large|}}}
  {\mathrel{\textsl{|}}}
  {\mathrel{\textsl{\small|}}}
}
\def\tsum{\mathop{\textstyle\sum}}
\def\ae{\hspace{.5cm}\Vert}

\newcommand{\xrightarrowdbl}[2][]{%
  \xrightarrow[#1]{#2}\mathrel{\mkern-14mu}\rightarrow
}
\hyphenation{dif-fer-en-tials}
\hyphenation{lem-ma}
\hyphenation{mani-fold}
\hyphenation{multi-plicities}
\hyphenation{semi-abelian}
\hyphenation{semi-toric}
\hyphenation{semi-torus}

\theoremstyle{plain}
\newtheorem{obsDef}[thm]{Observation and Definition}
\newtheorem{propDef}[thm]{Proposition and Definition}
\newtheorem{defNot}[thm]{Definition and Notation}
\theoremstyle{remark}
\newtheorem{choice}[thm]{Choice}
\newtheorem{conj}[thm]{Conjecture}
\newtheorem{cons}[thm]{Consequence}
\newtheorem{reminder}[thm]{Reminder}
\newtheorem{setnot}[thm]{Setting and Notation}
\newtheorem{notcho}[thm]{Notation and Choice}


\begin{document}


%\begin{abstract}
%  \input{00-abstract}
%\end{abstract}

\maketitle
\tableofcontents


\input{01-intro}
\input{02-ratlCurves}


\bibstyle{alpha}
\bibliographystyle{alpha}
\bibliography{bibliography/general}


\end{document}