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We have used the Submillimeter Array at 860$\,\mu$m to observe the brightestSCUBA-2 sources in 4$\,$deg$^{2}$ of the Cosmology Legacy Survey. We havetargeted 75 of the brightest single-dish SCUBA-2 850$\,\mu$m sources down to$S_{850}\,{\approx}\,8\,$mJy, achieving an average synthesized beam of2.4$^{\prime\prime}$ and an average rms of $\sigma_{860}\,{=}\,1.5\,$mJy in ourprimary beam-corrected maps. We searched our maps for $4\sigma$ peaks,corresponding to $S_{860}\,{\gtrsim}\,6\,$mJy sources, and detected 59 singlegalaxies and three pairs of galaxies. We include in our study 28 archivalobservations, bringing our sample size to 103 bright single-dish submillimetresources with interferometric follow-up. We compute the cumulative anddifferential number counts of our sample, finding them to overlap with previoussingle-dish survey number counts within the uncertainties, although ourcumulative number count is systematically lower than the parent SCUBA-2cumulative number count by $24\,{\pm}\,6$ per cent between 11 and 15$\,$mJy. Weestimate the probability that a ${\gtrsim}\,10\,$mJy single-dish submillimetresource resolves into two or more galaxies with similar flux densities, causinga significant change in the number counts, to be about 15 per cent. Assumingthe remaining 85 per cent of the targets are ultra-luminous starburst galaxiesbetween $z\,{=}\,2$-3, we find a likely volume density of${\gtrsim}\,400\,$M$_{\odot}\,$yr$^{-1}$ sources to be${\sim}\,3^{+0.7}_{-0.6}\,{\times}\,10^{-7}\,$Mpc$^{-3}$. We show that thedescendants of these galaxies could be${\gtrsim}\,4\,{\times}\,10^{11}\,$M$_{\odot}$ local quiescent galaxies, andthat about 10 per cent of their total stellar mass would have formed duringthese short bursts of star-formation.

High-resolution SMA imaging of bright submillimetre sources from the SCUBA-2 Cosmology Legacy Survey