  There have been several constructions of family of varieties with exceptional
monodromy group. In most cases, these constructions give Hodge structures with
high weight(Hodge numbers spread out). N. Katz was the first to obtain Hodge
structures with low weight(Hodge numbers equal to (2,3,2)) and geometric
monodromy group G2. In this article I will give an alternative description of
Katz's construction and give an extension of his result.
