  Generalized analytic functions over generalized analytic manifolds are build
from sums of convergent real power series with non-negative real exponents (and
some well-ordering condition on the support). In a paper by
Mart\'in-Villaverde, Rolin and Sanz-S\'anchez it is established a result of
local reduction of singularities for such a functions. In this paper we deal
with a first approach of the global problem. Namely, we prove that a germ of
generalized analytic function can be transformed by a finite sequence of
blowing-ups with closed centers into a function which is locally of monomial
type with respect to the coordinates defining the boundary of the manifold (a
normal crossings divisor).
