/usr/share/tomcat6/ is in tomcat6-common 6.0.35-1ubuntu3.
This file is owned by root:root, with mode 0o755.
..
/usr/share/tomcat6/bin/
/usr/share/tomcat6/bin/bootstrap.jar
/usr/share/tomcat6/bin/catalina-tasks.xml
/usr/share/tomcat6/bin/catalina.sh
/usr/share/tomcat6/bin/digest.sh
/usr/share/tomcat6/bin/setclasspath.sh
/usr/share/tomcat6/bin/shutdown.sh
/usr/share/tomcat6/bin/startup.sh
/usr/share/tomcat6/bin/tomcat-juli.jar
/usr/share/tomcat6/bin/tool-wrapper.sh
/usr/share/tomcat6/bin/version.sh
/usr/share/tomcat6/lib/
/usr/share/tomcat6/lib/catalina-ant.jar
/usr/share/tomcat6/lib/commons-dbcp.jar
/usr/share/tomcat6/lib/commons-pool.jar
/usr/share/tomcat6/lib/el-api.jar
/usr/share/tomcat6/lib/jasper-jdt.jar
/usr/share/tomcat6/lib/jsp-api.jar
/usr/share/tomcat6/lib/servlet-api.jar
/usr/share/tomcat6/lib/tomcat-i18n-es.jar
/usr/share/tomcat6/lib/tomcat-i18n-fr.jar
/usr/share/tomcat6/lib/tomcat-i18n-ja.jar