  Generalized Degrees of Freedom (GDoF) are characterized for the symmetric
$K$-user Multiple Input Multiple Output (MIMO) Interference Channel (IC) under
the assumption that the channel state information at the transmitters (CSIT) is
limited to finite precision. In this symmetric setting, each transmitter is
equipped with $M$ antennas, each receiver is equipped with $N$ antennas, each
desired channel (i.e., a channel between a transmit antenna and a receive
antenna belonging to the same user) has strength $\sim P$, while each undesired
channel has strength $\sim P^\alpha$, where $P$ is a nominal SNR parameter. The
result generalizes a previous GDoF characterization for the SISO setting
$(M=N=1)$ and is enabled by a significant extension of the Aligned Image Sets
bound that is broadly useful. GDoF per user take the form of a $W$-curve with
respect to $\alpha$ for fixed values of $M$ and $N$. Under finite precision
CSIT, in spite of the presence of multiple antennas, all the benefits of
interference alignment are lost.
