We study some properties of a singular Landau-Ginzburg family characterized
by the multi-variable superpotential W=βXβ1(Y1βY2β)nβ1+n1β(Y1βY2β)nβY3βY4β. We will argue that (the infra-red limit of) this theory
describes the topological degrees of freedom of the c=1 string compactified
at n times the self-dual radius. We also briefly comment on the possible
realization of these line singularities as singularities of Calabi-Yau
manifolds.Comment: 16 pages in harvmac (b