Files whose names begin with "._" are "AppleDouble" files and are primarily used as a means to store the contents of "resource forks" and other metadata on filesystems that don't support them. So if you copy a Mac file to a FAT32 formatted disk, the file may be split into a data "file" and corresponding AppleDouble "._file". When a Mac accesses files on such volumes, the system somehow manages to integrate the contents of both files and the user may not notice that anything is different.
Another way these files can be created is if files are transferred using SMB ("Windows sharing"), since the destination volume is likely to be one that doesn't support resource forks. However, SMB will create AppleDouble files even for transfers between two Macs. When this happens and a file is accessed locally (ie. from the computer to which the files have been transferred), the system won't be expecting an "AppleDouble" file to be present so all sorts of problems may arise.
Either way, the files may contain important information, depending on the file type so don't delete them. As to why you are getting them, that will depend on if either of the above situations applies. Try using AFP ("Personal file sharing") for file transfers, if you have the choice.
The other issue is why you are seeing the files. In OS X, files whose names begin with a dot "." should be invisible. If they are not, then you may have used a third party utility to reveal invisible files. To hide them again, you could try entering these commands in "/Applications" > "Utilities" > "Termnal.app":<pre>defaults write com.apple.finder AppleShowAllFiles -bool false
osascript -e 'tell application "Finder" to quit'</pre>Also, you may be able to reconstitute the separate files back. If both "file" and "._file" are in the same directory, try:<pre>/System/Library/CoreServices/FixupResourceForks
/path/to/folder</pre>You may want to test it out on a copy of a folder containing these files first (the command doesn't work on individual files). See '
man FixupResourceForks' for details.