  The Maxwell-Klein-Gordon equations in 2+1 dimensions in temporal gauge are
locally well-posed for low regularity data even below energy level. The
corresponding (3+1)-dimensional case was considered by Yuan. Fundamental for
the proof is a partial null structure in the nonlinearity which allows to rely
on bilinear estimates in wave-Sobolev spaces by d'Ancona, Foschi and Selberg,
on an $(L^p_x L^q_t)$ - estimate for the solution of the wave equation, and on
the proof of a related result for the Yang-Mills equations by Tao.
