论文标题
线性套件来自DeSarguesian差的投影
Linear sets from projection of Desarguesian spreads
论文作者
论文摘要
GALOIS空间中的每个线性集都是子几何的投影，在此观点下给出了最著名的线性特征。例如，通过考虑从两个导演空间跨越的顶点的deSarguesian扩散和从顶点凸起的散射的伪基类型类型的线性集。在本文中，我们介绍了$ h $ -pseudoreGulus类型的线性集合的概念，事实证明，该概念是从任意数量的desarguesian desarguesian spread spreth a Subdebesry的跨越跨度投射的。在这些线性集中，我们表征了$ h $ scatter的那些线性，并解决了它们之间的等价问题。最近在文献中引入的代数工具和摩尔指数集。作为副产品，我们将$ h $ h $ -pseudoreGulus类型的渐近线性线性套件分类。
Every linear set in a Galois 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.
