We study (i-)locally singular hyperplanes in a thick dual polar space of rank n. If is not of type DQ(2n, K), then we will show that every locally singular hyperplane of 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.
Cardinali, I., DE BRUYN, B., Pasini, A. (2006). Locally singular hyperplanes in thick dual polar spaces of rank 4. JOURNAL OF COMBINATORIAL THEORY. SERIES A, 113(4), 636-646 [10.1016/j.jcta.2005.05.007].
Locally singular hyperplanes in thick dual polar spaces of rank 4
CARDINALI I.;PASINI A.
2006-01-01
Abstract
We study (i-)locally singular hyperplanes in a thick dual polar space of rank n. If is not of type DQ(2n, K), then we will show that every locally singular hyperplane of 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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https://hdl.handle.net/11365/37733
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