  We identify graphene as a system where chiral superconductivity can be
realized. Chiral superconductivity involves a pairing gap that winds in phase
around the Fermi surface, breaking time reversal symmetry. We consider a unique
situation arising in graphene at a specific level of doping, where the density
of states is singular, strongly enhancing the critical temperature T_c. At this
doping level, the Fermi surface is nested, allowing superconductivity to emerge
from repulsive electron-electron interactions. We show using a renormalization
group method that superconductivity dominates over all competing orders for any
choice of weak repulsive interactions. Superconductivity develops in a doubly
degenerate, spin singlet channel, and a mean field calculation indicates that
the superconductivity is of a chiral d+id type. We therefore predict that doped
graphene can provide experimental realization of spin-singlet chiral
superconductivity.
