as you linked to a category archive page,
edit loop.php:
remove the following section (about 30 lines from the end of the file):
<?php
$tags_list = get_the_tag_list( '', ', ' );
if ( $tags_list ):
?>
<span class="tag-links">
<?php printf( __( '<span class="%1$s">Tagged</span> %2$s', 'twentyten' ), 'entry-utility-prep entry-utility-prep-tag-links', $tags_list ); ?>
</span>
<span class="meta-sep">|</span>
<?php endif; ?>
for single posts, the respective code is in functions.php under function twentyten_posted_in() { and is a bit more complicated to edit - report back, if you need to remove the tag list form the single post(s) as well.