Every linear set in a projective space is the projection of a subgeometry, and most known characterizations of linear sets are given under this point of view. For instance, scattered linear sets of pseudoregulus type are obtained by considering a Desarguesian spread of a subgeometry and projecting from a vertex which is spanned by all but two director spaces. In this paper we introduce the concept of linear sets of h-pseudoregulus type, which turns out to be projected from the span of an arbitrary number of director spaces of a Desarguesian spread of a subgeometry. Among these linear sets, we characterize those which are h-scattered and solve the equivalence problem between them; a key role is played by an algebraic tool recently introduced in the literature and known as Moore exponent set. As a byproduct, we classify asymptotically h-scattered linear sets of h-pseudoregulus type.

投影空间中的每个线性集都是子几何的投影，在这种情况下给出了线性集的大多数已知特征。例如，通过考虑子几何形状的Desarguesian扩展并从除两个指向矢空间之外的所有点跨越的顶点投影来获得伪规则类型的分散线性集。在本文中，我们介绍了h-伪规则类型的线性集的概念，该概念是从子几何的Desarguesian扩展的任意数量的指向矢空间的跨度中投影而来的。其中线性套，我们描述了那些^ h分散并解决它们之间的对等问题；最近在文献中引入的称为Moore指数集的代数工具发挥着关键作用。作为副产物，我们分类渐近ħ的-分散线性套ħ -pseudoregulus类型。