Deleting part of file names

My server got messed up and the names of my files were not completely processed. As results I ended up getting a bunch of files with the following names:

I need to remove the underscore and everything before it. Thus, the files will be renamed to something like this:

Any help will be greatly appreciated.

Try:

for i in *; do mv $i ${i#*_}; done

Thank you very, very much!

Minor addition. In general it is better to use weak quoting around variable references so that it works for files with spaces or special characters too:

for i in *; do mv "$i" "${i#*_}"; done