In the light of recent experimental as well as theoretical studies, we summ
arize our present understanding of polar oxide surfaces and examine fundame
ntal issues regarding their stability. The focus is on the surface atomic c
onfigurations (relaxations, reconstructions, nonstoichiometry, etc) obtaine
d under specific preparation conditions and their associated electronic str
ucture. We discuss several mechanisms at work on polar surfaces, such as re
laxation effects, change of covalency in the surface layers, partial fillin
g of surface states, and stoichiometry variations, and try to assess their
actual efficiency for cancelling the polarity.