Consider a 2-dimensional holomorphic map $F(x,y)$ with a fixed
point at the origin having multipliers $a=1$ and $b$, $0<|b|<1$. Ueda showed
for such maps that, in general, the set of points attracted to the
origin by the iterates of the inverse of $F$ locally is a 1-dimensional
holomorphic curve containing the origin on the boundary. I will present
results on Borel-Laplace summability of the formal power series
expansion for this curve. I will start with a detailed definition of
Borel-Laplace summation, examples, and description of analogous results
for the case of a one-dimensional simple parabolic germ ($f(x)=x+x^2+$
higher order terms).