An excess of massive stars in the local 30 Doradus starburst

The 30 Doradus star-forming region in the Large Magellanic Cloud is a nearby analogue of large star-formation events in the distant Universe. We determine the recent formation history and the initial mass function (IMF) of massive stars in 30 Doradus based on spectroscopic observations of 247 stars more massive than 15 solar masses ($mathrm{M}_odot$). The main episode of massive star formation started about $8,mathrm{Myr}$ ago and the star-formation rate seems to have declined in the last $1,mathrm{Myr}$. The IMF is densely sampled up to $200,mathrm{M}_odot$ and contains $32pm12%$ more stars above $30,mathrm{M}_odot$ than predicted by a standard Salpeter IMF. In the mass range $15-200,mathrm{M}_odot$, the IMF power-law exponent is $1.90^{+0.37}_{-0.26}$, shallower than the Salpeter value of 2.35.