  To each skew-gentle algebra, one can assign a gentle algebra in terms of
combinatorial data. In order to relate the structures of the two algebras, we
establish a homological epimorphism and a recollement of derived module
categories. This approach is characteristic free and works in particular also
in characteristic two, which is the difficult case for skew-gentle algebras.
This allows to solve open problems and to uniformly reprove and strengthen
known results, for instance, (1) a complete classification of selfinjective
skew-gentle algebras; (2) the finitistic dimension conjecture, Auslander and
Reiten's conjecture, and Keller's conjecture hold for all skew-gentle algebras;
(3) a precise connection of K-theory between skew-gentle algebras and gentle
algebras; (4) all skew-gentle algebras are Gorenstein, and skew-gentle algebras
and their gentle algebras share the same singularity categories.
