Linux: File Home di Desktop

I have just installed Ubuntu 11.04, and I am surprised to see icons cluttering up my whole desktop. All the folders and files under Home are represented. But if I delete the icons, the folder or file itself is deleted - the icon is not just a link. How can I clean up the desktop? None of the screenshots advertising Unity look like this.

As mentioned in another comment you need to edit the ~/.config/user-dirs.dirs file. What I saw was something like this:

XDG_DESKTOP_DIR="$HOME/"
XDG_DOWNLOAD_DIR="$HOME/"
XDG_TEMPLATES_DIR="$HOME/"
XDG_PUBLICSHARE_DIR="$HOME/"
XDG_DOCUMENTS_DIR="$HOME/"
XDG_MUSIC_DIR="$HOME/"
XDG_PICTURES_DIR="$HOME/"
XDG_VIDEOS_DIR="$HOME/"

And I changed it to something like this:

XDG_DESKTOP_DIR="$HOME/Desktop"
XDG_DOWNLOAD_DIR="$HOME/Downloads"
XDG_TEMPLATES_DIR="$HOME/"
XDG_PUBLICSHARE_DIR="$HOME/Share"
XDG_DOCUMENTS_DIR="$HOME/Documents"
XDG_MUSIC_DIR="$HOME/Music"
XDG_PICTURES_DIR="$HOME/Pictures"
XDG_VIDEOS_DIR="$HOME/Videos"

Then restart nautilus:

killall nautilus

or

nautilus -q

Then, open nautilus via Unity menu (press the Super key) or using the run command (Alt+F2)