部分线性空间的Segre积的仿射化
Affinization of Segre products of partial linear spaces
摘要：
研究了部分线性空间的Segre积中的超平面和超平面补。这种互补的平行性的特点是在点线入射。给出了补空间的自同构是环境空间的自同构的限制的假设。建立了Veblenian Gamma空间的Segre积的仿射覆盖。给出了可嵌入射影空间的部分线性空间的Segre积中产生非退化超平面的一般构造.
英文摘要：
Hyperplanes and hyperplane complements in the Segre product of partial linear spaces are investigated . The parallelism of such a complement is characterized in terms of the point-line incidence. Assumptions, under which the automorphisms of the complement are the restrictions of the automorphisms of the ambient space, are given. An affine covering for the Segre product of Veblenian gamma spaces is established. A general construction that produces non-degenerate hyperplanes in the Segre product of partial linear spaces embeddable into projective space is introduced.
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