In the light of recent experimental as well as theoretical studies,
we summarize our present understanding of polar oxide surfaces and
examine fundamental issues regarding their stability. The focus is
on the surface atomic configurations (relaxations, reconstructions,
non-stoichiometry, etc) obtained under specific preparation
conditions and their associated electronic structure. We discuss
several mechanisms at work on polar surfaces, such as relaxation
effects, change of covalency in the surface layers, partial filling
of surface states, and stoichiometry variations, and try to assess
their actual efficiency for cancelling the polarity.