  This article shall serve as a quick reference for somebody who needs precise
information on concepts and results related to resolution of singularities. As
such, it is more a technical manual than a bedtime story.
  Topics which are covered: Singular and regular points of varieties and
schemes; various definitions of blowups and their mutual relations; properties
of blowups; transforms of varieties, schemes and ideals; exceptional divisors;
Cartier and normal crossings divisors; transversality; hypersurfaces of maximal
contact; flags; coefficient ideals; resolution invariants; order of ideals;
Hilbert-Samuel function; semicontinuity; various resolution statements;
characteristic zero resolution; characteristic p phenomena.
  The text is complemented with lots of illustrating examples.
