  We introduce a new moduli stack, called the Serre stable moduli stack, which
corresponds to studying families of point objects in an abelian category with a
Serre functor. This allows us in particular, to re-interpret the classical
derived equivalence between most concealed-canonical algebras and weighted
projective lines by showing they are induced by the universal sheaf on the
Serre stable moduli stack. We explain why the method works by showing that the
Serre stable moduli stack is the tautological moduli problem that allows one to
recover certain nice stacks such as weighted projective lines from their moduli
of sheaves. As a result, this new stack should be of interest in both
representation theory and algebraic geometry.
