  The 30 Doradus region in the Large Magellanic Cloud is one of the most
outstanding star forming regions of the Local Group and a primary target to
study star formation in an environment of low metallicity. In order to obtain a
more complete picture of the not yet consumed or dispersed cool gas, we
searched for line emission from molecular clouds that could be associated with
molecular hydrogen emission detected in the region. We obtained a high
sensitivity 12CO J=2-1 map with the 15-m SEST telescope, complemented by
pointed observations of 13CO J=2-1 and CS J=2-1. We report the discovery of a
dense molecular cloud towards an embedded young massive star at ~ 20" (~5 pc,
at the distance of 50 kpc) northwest of R136, the compact massive central
stellar cluster powering 30 Doradus in the LMC, that could be triggering star
formation in the surrounding molecular clouds. We derived a molecular mass of
$\lesssim 10^4$ \msol, a linear radius of 3 pc, as an upper limit, and a mean
density of $\gtrsim 10^{3}$ cm$^{-3}$ for the cloud. The detection of CS J=2-1
emission line indicates larger densities, $\sim 10^{6}$ cm$^{-3}$. The dense
molecular cloud is associated with molecular 2.12 um H2 emission. We suggest
that the observed molecular gas could be the remains of dense molecular
material surviving the action of strong UV fields and winds in which the young
massive star has formed.
