Abstract: 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 of 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.
Characterizations of symplectic polar spaces
Giuzzi L.;
2023-01-01
Abstract
Abstract: 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 of 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.File in questo prodotto:
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