论文标题

符号极空间的特征

Characterizations of symplectic polar spaces

论文作者

Cardinali, Ilaria, Cuypers, Hans, Giuzzi, Luca, Pasini, Antonio

论文摘要

如果极地空间s在投射几何形状pg(v)中嵌入e,则据说它是符合性的,因此,s的电子图像E(s)由V的交替形式定义。在本文中,我们在本文中表征了它们的发生性质的象征性极性空间,而没有提及其嵌入的特性属性。这是相关的,尤其是当S允许不同(非同构)嵌入时,(正是)在特征2的字段上定义s时(恰恰是)。

A polar space S is said to be symplectic if it admits an embedding e in a projective geometry PG(V) such that the e-image e(S) of S is defined by an alternating form of V. In this paper we characterize symplectic polar spaces in terms of their incidence properties, with no mention of peculiar properties of their embeddings. This is relevant especially when S admits different (non isomorphic) embeddings, as it is the case (precisely) when S is defined over a field of characteristic 2.

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