As has been mentioned lexicals at a file scope aren't accessible outside that file. What you've written is (more or less) equivalent to trying to do this:

{
my $var1 = "hello";
my $var2 = "perl!";
}
print $var1;
print $var2;
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If you tried to do that under strict you'd get errors immediately because you're trying to access variables after they've gone out of scope. See Coping with Scoping.