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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.
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.
Resolution of Singularities has long been considered as being a
difficult to access area of mathematics. The more systematic and
simpler proofs that have appeared in the last few years in zero
characteristic now give us a much better understanding of
singularities. They reveal the aesthetics of both the logical
structure of the proof and the various methods used in it. The
present volume is intended for readers who are not yet experts but
always wondered about the intricacies of resolution. As such, it
provides a gentle and quite comprehensive introduction to this
amazing field. The book may tempt the reader to enter more deeply
into a topic where many mysteries - especially the positive
characteristic case - await to be disclosed.
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