We analyze the monopole in the peculiar velocities of 44 Type Ia supernovae
(SNe Ia) to test for a local void. The sample extends from 20 to 300 h(-1)
Mpc, with distances, deduced from light-curve shapes, accurate to similar
to 6%. Assuming Omega(m) = I and Omega(Lambda) = 0, the most significant de
viation we find from the Hubble law is an outward how of 6.5% +/- 2.2% insi
de a sphere of radius 70 h(-1) Mpc, as would be produced by a void of simil
ar to 20% underdensity surrounded by a dense shell. This shell roughly coin
cides with the local great walls. Monte Carlo analyses, using Gaussian erro
rs or bootstrap resampling, show the probability for chance occurrence of t
his result out of a pure Hubble how to be similar to 2%. The monopole could
be contaminated by higher moments of the velocity held, especially a quadr
upole, which are not properly probed by the current limited sky coverage. T
he void would be less significant if Omega(m) is low and Omega(Lambda), is
high. It would be more significant if one outlier is removed from the sampl
e, or if the size of the void is constrained a priori. This putative void i
s not in significant conflict with any of the standard cosmological scenari
os. It suggests that the Hubble constant as determined within 70 h(-1) Mpc
could be overestimated by similar to 6%, and the local value of Omega may b
e underestimated by similar to 20%. While the present evidence for a local
void is marginal in this data set, the analysis shows that the accumulation
of SN Ia distances will soon provide useful constraints on elusive and imp
ortant aspects of regional cosmic dynamics.