\contentsline {section}{\tocsection {}{}{Introduction}}{1}
\contentsline {section}{\tocsection {}{1}{Generalities on the Cox ring}}{4}
\contentsline {section}{\tocsection {}{2}{Generalities on toric varieties}}{7}
\contentsline {section}{\tocsection {}{3}{The ${\@mathbf E}_6$ cubic surface}}{12}
\contentsline {section}{\tocsection {}{4}{${\@mathbf D}_4$ cubic surface}}{23}
\contentsline {section}{\tocsection {}{}{References}}{26}