syn-pdfQA/01.1_Input_Files_Non_PDF/research articles/2510.23193v1.tex

 % Official template for
% https://topology.journals.yorku.ca/index.php/tp/about/submissions
% Version 2025-04-25

\documentclass[twoside]{amsart}
\usepackage{pacchetto}



%    Author info
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%    First author:
\author{Ludovica Buelli}
\address{Dipartimento di Matematica; Università di Genova;
Via Dodecaneso 35, 16146 Genova, Italia}
%    Current address (if needed):
%\curraddr{}
\email{ludovica.buelli@edu.unige.it, ludovica.buelli@hotmail.com}
% \thanks{The first author was supported in part by NSF Grant \#000000.}

%    Second author (if needed):
%\author{Author Two}
%\address{}
%\email{}
%\thanks{Support information for the second author.}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%    Title
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\title[Locally trivial monodromy of moduli spaces]%
{Locally trivial monodromy of moduli spaces\\ of sheaves on Abelian surfaces}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%




\begin{document}
\begin{abstract}The aim of this work is to give a description of the locally trivial monodromy group of irreducible symplectic varieties arising from moduli spaces of semi-\linebreak[4]stable sheaves on Abelian surfaces with non-primitive Mukai vector. The outcome 
is that the locally trivial monodromy group of a singular moduli space of this type is isomorphic to the monodromy group of a smooth moduli space, extending Markman’s and Mongardi's description to the non-primitive case. 
\end{abstract}


\maketitle
\vspace{-5ex}

\tableofcontents
\vspace{-5ex}
\section*{Introduction}
\input{intro}

\section{Preliminaries}
\input{sec1}
\section{An injective morphism from \texorpdfstring{$\monlt(K_v(S,H))$}{Mon2lt(Kv(S,H))}  to \texorpdfstring{$\mon^{2}(K_w(S,H))$}{Mon2(Kw(S,H))}}
\input{sec2}
\section{A groupoid representation}
\input{sec3}
\section{The locally trivial monodromy group}
\input{sec4}
\appendix
\section{Some lattice theory results}
\input{appendix}

\bibliographystyle{alpha}
\begin{thebibliography}{Aaaaaaaa}
\input{bibliography}
\end{thebibliography}

%\printbibliography 

\end{document}