Partitioning Segre varieties and projective spaces

The recent interest both in partitions of finite geometries into other geometric objects and in the classical Segre varieties over finite fields are the background motivation for this paper. More precisely, partitions of Segre varieties into Segre varieties are investigated and the idea of nested partitions is introduced. Other partitions, namely of projective spaces and hyperbolic quadrics, are also studied. ∗ The authors are partially supported by GNSAGA and by the Italian Ministry for University Research and Technology (project: Strutture geometriche, combinatoria e loro applicazioni). Australasian Journal of Combinatorics 25(2002), pp.59–67