On 18 May, 1994, a subflare was observed in AR 7722 in X-rays by Yohkoh/SXT
and in H alpha at National Astronomical Observatory of Japan. The associat
ed brightenings are due to small-scale magnetic energy release, triggered b
y parasitic fluxes emerging and moving at the edge of leading sunspots. Usi
ng the magnetohydrostatic equations derived by Low (1992), we model the mag
netic field configuration by extrapolation of the Kitt Peak photospheric fi
eld, taking into account the effects of pressure and gravity. H alpha flare
kernels are shown to be located at computed separatrices associated with f
ield lines which are tangent to the photosphere, namely 'bald patches' (BPs
). This is evidence that BPs can be involved in flares, and that current sh
eets can be dissipated in low levels of the solar atmosphere. The presence
of dense plasma which is supported against gravity in the magnetic dips abo
ve BPs is correlated to dark elongated features observed in H alpha. Mass f
lows in these flat fibrils are discussed in the context of energy release i
n the BP separatrices. The effect of the plasma on the computed magnetic co
nfiguration is shown to be of secondary importance with respect to the topo
logy of the field.