MutuallyM-intersecting Hermitian Varieties

LetMbe a set of integers. We consider a set of varieties in PG(n,q) such that each variety containsρpoints and the intersection of two distinct varieties containsμpoints, whereμ M. Such a set is called a set of mutuallyM-intersecting varieties. In this paper, it is shown that there exist new sets of mutuallyM-intersecting varieties by using Hermitian varieties in PG(2,q2).