How can I delete from the disk the current open file from within vim? Would be nice to also close the buffer.
I see you can use NERDTree for that, but I don\'t use this
Take a look at Delete files with a Vim command. The Comments section should have what you're looking for:
Basically, Rm will delete the current file; RM will delete the current file and quit the buffer (without saving) in one go.
Alternatively, you could just issue a shell command to remove the current file:
:!rm %