Assuming that @rebasefile is an array you can skip the first 10 indices in a couple of ways

foreach (@rebasefile[10..$#rebasefile]){ # skips the first ten automat
+ically
  next if(/^\s*$/);
  ...
}
[download]

# alternately if you don't want the overhead of creating an array slice
foreach (@rebasefile){
next for (0..9); # of course, this has overhead of its own
next if(/^\s*$/);
...
}
I haven't checked which implementation is faster. I suspect that for just 10 elements, there is a non-measurable difference. If you were ignoring 100 or more elements, the slice is probably more efficient.

Update:

Ignore the second loop. Never get smug before your first cup of coffee.