In September 1997, the Working Week on Resolution of Singularities was
held at Obergurgl in the Tyrolean Alps. Its objective was to manifest
the state of the art in the field and to formulate major questions for
future research. The four courses given during this week were written up
by the speakers and make up part I of this volume. They are complemented
in part II by fifteen selected contributions on specific topics and
resolution theories. The volume is intended to provide a broad and
accessible introduction to resolution of singularities leading the
reader directly to concrete research problems.