Locally singular hyperplanes in thick dual polar spaces of rank 4 |
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| Authors: | I Cardinali |
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| Institution: | a Dipartimento di Scienze Matematiche e Informatiche “R. Magari”, Università di Siena, Pian dei Mantellini, 44, I-53100 Siena, Italy
b Department of Pure Mathematics and Computer Algebra, Ghent University, Galglaan, 2, B-9000 Gent, Belgium |
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| Abstract: | We study (i-)locally singular hyperplanes in a thick dual polar space Δ of rank n. If Δ is not of type DQ(2n,K), then we will show that every locally singular hyperplane of Δ is singular. We will describe a new type of hyperplane in DQ(8,K) and show that every locally singular hyperplane of DQ(8,K) is either singular, the extension of a hexagonal hyperplane in a hex or of the new type. |
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| Keywords: | 51A50 |
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