The phase diagram of three-flavor QCD for small baryon densities

We review our results for the phase diagram of three-flavor QCD for μB≤500 MeV. Our simulations are performed with an imaginary chemical potential for which the fermion determinant is positive. Physical observables are then fitted by truncated Taylor series and continued to real chemical potential. We map out the location of the critical line Tc(μB) with an accuracy up to terms of order (μB/T)6. We also show first results on a determination of the critical endpoint of the transition. We provide evidence, both theoretical and numerical, indicating high sensitivity of the critical point to the quark masses. (author)