They are "Serial" data ports. The data is delivered on a single line as a
stream of bits. A standard PC has a total of 4 Com ports. Com-1
and Com-3 share an IRQ(4), but have a different Address. Com-2 and
Com-4 share and IRQ (3), but have different addresses.
They are setup via BIOS. You will find them in Device Manager under
the Ports category.
Modems use a dedicated Com port on the card itself, usually taking up
Com 1 or Com 3. In days gone by, configuring Com ports was a real
headache with addressing and IRQ conflicts.
They have been essentially replaced by Universal Serial Bus devices,
where up to 128 individual devices can be chained on a single USB channel.