  We explore the fate of the curvature singularity of Schwarzschild (deSitter)
black holes in asymptotically safe quantum gravity. Specifically, we upgrade
the classical spacetime by including the running of the Newton coupling and
cosmological constant. In this setting, the antiscreening character of the
gravitational interaction can remove the singularity, yet a nonzero value of
the cosmological constant in the ultraviolet appears to reintroduce it. We find
hints that a finite value of the cosmological constant in the infrared is
compatible with singularity resolution provided that the cosmological constant
is driven to zero fast enough in the ultraviolet. We compare the corresponding
bounds on the critical exponents to the literature.
