  We study the production of primordial black holes (PBHs) during the
preheating stage that follows a chaotic inflationary phase. The scalar fields
present in the process are evolved numerically using a modified version of the
HLATTICE code. From the output of the numerical simulation, we compute the
probability distribution of curvature fluctuations, paying particular attention
to sub-horizon scales. We find that in some specific models these modes grow to
large amplitudes developing highly non-Gaussian probability distributions. We
then calculate PBH abundances using the standard Press-Schechter criterion and
find that overproduction of PBHs is likely in some regions of the chaotic
preheating parameter space.
