Distribuation of CM points of an infinite series of complete Calabi-Yau moduli spaces

Abstract

In the infinite series of complete families of Calabi-Yau manifolds fn :Xn → Mn,n+3, where n is an odd number, arising from cyclic covers of P n branching along hyperplane arrangements ([5]), the set of CM points is dense for n = 1, 3 and finite for n ≥ 5.