  We show a simple and fast embedded resolution of varieties and
principalization of ideals in the language of torus actions on ambient smooth
schemes with or without SNC divisors. The canonical functorial resolution of
varieties in characteristic zero is given by, the introduced here, operations
of cobordant blow-ups with smooth weighted centers. The centers are defined by
the geometric invariant measuring the singularities on smooth schemes with SNC
divisors.
  As the result of the procedure we obtain a smooth variety with a torus action
and the exceptional divisor having simple normal crossings. Moreover, its
geometric quotient is birational to the resolved variety, has abelian quotient
singularities, and can be desingularized directly by combinatorial methods. The
paper is based upon the ideas of the joint work with Abramovich and Temkin and
a similar result by McQuillan on resolution in characteristic zero via
stack-theoretic weighted blow-ups.
  As an application of the method we show the resolution of a certain class of
singularities in positive and mixed characteristic.
