  We construct a variational description for incompressible ground states and
charge gaps in the N = 0 LL of graphene which accounts for the 4-fold Landau
level degeneracy and for the short range interactions that break the SU(4)
spin-valley invariance. Our approach explains the experimental finding that
gaps at odd numerators are weak for 1<|\nu|<2 and strong for 0<|\nu|< 1. We
find that in the SU(4) invariant case the incompressible ground state at
|\nu|=1/3 is a three-component incompressible state, not the Laughlin state,
and discuss the competition between these two states in the presence of SU(4)
spin-valley symmetry breaking terms.
