  We re-examine Shatalov-Sternin's proof of existence of resurgent solutions of
a linear ODE. In particular, we take a closer look at the "Riemann surface"
(actually, a two-dimensional complex manifold) whose existence, endless
continuability and other properties are claimed by those authors. We present a
detailed argument for a part of the "Riemann surface" relevant for the exact
WKB method.
  The present text is the author's article arXiv:0907.2934 rewritten from a
different perspective.
