  The Cauchy problem for the Chern-Simons-Higgs system in the (2+1)-dimensional
Minkowski space in temporal gauge is locally well-posed for low regularity
initial data improving a result of Huh. The proof uses the bilinear space-time
estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg and takes
advantage of a null condition.
