The properties of future singularities are investigated in the universe dominated by dark energy including the phantom-type fluid .
We classify the finite-time singularities into four classes and explicitly present the models which give rise to these singularities by assuming the form of the equation of state of dark energy .
We show the existence of a stable fixed point with an equation of state w < -1 and numerically confirm that this is actually a late-time attractor in the phantom-dominated universe .
We also construct a phantom dark energy scenario coupled to dark matter that reproduces singular behaviors of the Big Rip type for the energy density and the curvature of the universe .
The effect of quantum corrections coming from conformal anomaly can be important when the curvature grows large , which typically moderates the finite-time singularities .