We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved L{sup a,b,c} cone. The geometry flows from AdS{sub 5}xL{sup a,b,c} to AdS{sub 5}xS{sup 5}/Z{sub k}. The corresponding quiver gauge theory undergoes a renormalization group flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various L{sup a,b,c} fixed points. The general system is described by a triplet of Heun equations, which can each be solved by an expansion with a three-term recursion relation, though there are closed-form solutions for certain cases. This enables us to read off the operators that acquire nonzero vacuum expectation values as the quiver gauge theory flows away from a fixed point.