Than you very much TheHandofCod, you have guessed right, it works. Here is the full code where I want to call $conv for the sake of helping future readers:
<?php query_posts('cat='.$conv[$fonciere][$pagecourante]); ?>
<?php if ( have_posts() ) : while ( have_posts() ) : the_post(); ?>
<?php the_content(); ?>
<?php endwhile; endif; ?>
That is working like a charm, thanks again TheHandofCod.