  We investigate the sensitivity of reheating history on the abundance of
primordial black holes (PBHs). Contrary to the monochromatic case of mass
fraction of PBH, reheating era with different e-folding and equation-of-state
can have a substantial impact on the abundance of PBH with an extended mass
fraction. We demonstrate explicitly this reheating sensitivity in an
illustrative model of single field inflation with a quasi-inflection point, and
find that both the peak position and amplitude of the extended mass fraction as
well as the abundance of PBH in DM can vary by many orders of magnitude, which
adds another layer of uncertainty on the PBH scenarios as dark matter.
