\relax 
\newlabel{ch:0}{{}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {0.1}A reminder of elementary notions}{1}}
\newlabel{sec:0.1}{{0.1}{1}}
\@writefile{toc}{\contentsline {section}{\numberline {0.2}Rational transformations}{2}}
\newlabel{sec:0.2}{{0.2}{2}}
\newlabel{eq0.2.1}{{1}{2}}
\@writefile{toc}{\contentsline {section}{\numberline {0.3}Surfaces in hyperspaces $S_r$ and resolution of singularities}{5}}
\newlabel{sec:0.3}{{0.3}{5}}
\@writefile{toc}{\contentsline {section}{\numberline {0.4}Surfaces with normal singularities}{6}}
\newlabel{sec:0.4}{{0.4}{6}}
\@writefile{toc}{\contentsline {section}{\numberline {0.5}Note}{8}}
\newlabel{sec:0.5}{{0.5}{8}}
\@writefile{toc}{\contentsline {paragraph}{(1)}{10}}
\@writefile{toc}{\contentsline {paragraph}{(2)}{11}}
\@writefile{toc}{\contentsline {subparagraph}{a)}{11}}
\@writefile{toc}{\contentsline {subparagraph}{b)}{12}}
\@setckpt{0}{
\setcounter{page}{13}
\setcounter{equation}{1}
\setcounter{enumi}{2}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{14}
\setcounter{mpfootnote}{0}
\setcounter{part}{0}
\setcounter{chapter}{0}
\setcounter{section}{5}
\setcounter{subsection}{0}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{Corollary}{0}
\setcounter{Theorem}{0}
\setcounter{Lemma}{1}
}
