Sure.
HDMI stands for High Definition Media Interface. This connection is digital and can carry an HD video signal as well as an HD audio signal in the same cable. Variations of it are used on most current TVs and monitors. An HDMI cable and a DVI cable carry the same type of video signal, so an HDMI cable is essentially a glorified DVI cable.
DVI stands for Digital Video Interface. There are several types of DVI: Single Link, Dual Link, DVI-A, DVI-D, and DVI-I.
Those types just indicate whether the signal is analog or digital, and what type of connector it uses. Your graphics card probably has a DVI-I port.
Displayport is a digital connection backwards compatable with DVI and VGA. It is an HD connection on most modern monitors. You...