In addition to what maa has said, I think what you are looking for is a HASH of ARRAYS (Which will, in reality, be a Hash or of array-references)- this can store arrays, and access them by a user-defined name. Please read perldoc perlref. Sample:

my %HoA = { FirstVar=> [qw(Firstref Secondref etc)],
            SecondVar => [qw(SecondvarRef1 Ref2 etcetc)]};

#To access,
my $varname = 'FirstVar';
foreach (@{$HoA{$varname}}{
    print "Variable $varname ref: $_\n";
}
[download]

Update: Fixed Typo