Surfaces with p(g) = q=2, K-2=6, and Albanese Map of Degree 2

We classify minimal surfaces of general type with pg = q = 2 and K 2 = 6 whose Albanese map is a generically finite double cover. We show that the corresponding moduli space is the disjoint union of three generically smooth irreducible components MIa, MIb, MII of dimension 4, 4, 3, respectively.