... we set π(α)=a, π(β)=b and we define π(γ):=c. (then abc = 1).MODULI SPACES OF SURFACES AND REAL STRUCTURES 591 and V. Kharlamov for a useful conversation, V. Kulikov and Sandro Manfre-dini for ... n0=3 ,and ν3=3yields the usual contradiction.Thus ν3=1=ν2 and then m3= n3=2,ν1=2,n0=3,n2=2m1= m2 and we have therefore the case d = 3and branching indices(2,m1, 2m1) for G and ... 0).Annals of Mathematics Moduli spaces of surfaces and real structures By Fabrizio Catanese* MODULI SPACES OF SURFACES AND REAL STRUCTURES 589By the formula of Riemann Hurwitz the...