  Skew-gentle algebras are skew-group algebras of certain gentle algebras
endowed with a Z 2-action. Using the topological description of Opper,
Plamondon and Schroll in [OPS] for the indecomposable objects of the derived
category of any gentle algebra, one obtains here a complete description of
indecomposable objects in the derived category of any skew-gentle algebras in
terms of curves on an orbifold surface.The results presented here are
complementary to the ones in [LSV]. First, we obtain a complete classification
of indecomposable objects and not of ''homotopy strings'' and ''homotopy
bands'' which are not always indecomposable. Second, the classification
obtained here does not use the combinatorial description of [BMM03], but
topological arguments coming from the double cover of the orbifold surface
constructed in [AB].
