| Following Miranda (Mi) we define the moduli space of rational elliptic surfaces as the quotient W(,1) = (V(,4) x V(,6))('s)/GL(,2) where V(,n) is the set of binary homogeneous functions of degree n and (V(,4) x V(,6))('s) are the SL(,2)-stable points of V(,4) x V(,6). We compute the singular locus S of W(,1) which consists of 6 components of dimensions 5,4,3,3,0,0. The general points of these components are cyclic quotient singularities which we compute. |
