File size: 2,137 Bytes
da32f0b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 | % 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}
|