The sets of the absolute points of (possibly degenerate) polarities of a projective space are well known. The sets of the absolute points of (possibly degenerate) correlations, different from polarities, of PG(2, qn), have been completely determined by B.C. Kestenband in 11 papers from 1990 to 2014, for non-degenerate correlations and by D’haeseleer and Durante (Electron J Combin 27(2):2–32, 2020) for degenerate correlations. The sets of the absolute points of degenerate correlations, different from degenerate polarities, of a projective space PG(3, q^n) have been classified in (Donati and Durante in J Algebr Comb 54:109–133, 2021). The sets of the absolute points of degenerate correlations, different from degenerate polarities, of a projective space PG(4, q^n) have been classified by Durante and Grimaldi in J. Algebraic Combin. 56 (2022), no. 3, 873–887. In this paper the authors classify the set of absolute points of degenerate correlations, different from degenerate polarities of PG(5,q^n).
Absolute points of correlations of PG(5,qn)
Grimaldi G. G.
2023
Abstract
The sets of the absolute points of (possibly degenerate) polarities of a projective space are well known. The sets of the absolute points of (possibly degenerate) correlations, different from polarities, of PG(2, qn), have been completely determined by B.C. Kestenband in 11 papers from 1990 to 2014, for non-degenerate correlations and by D’haeseleer and Durante (Electron J Combin 27(2):2–32, 2020) for degenerate correlations. The sets of the absolute points of degenerate correlations, different from degenerate polarities, of a projective space PG(3, q^n) have been classified in (Donati and Durante in J Algebr Comb 54:109–133, 2021). The sets of the absolute points of degenerate correlations, different from degenerate polarities, of a projective space PG(4, q^n) have been classified by Durante and Grimaldi in J. Algebraic Combin. 56 (2022), no. 3, 873–887. In this paper the authors classify the set of absolute points of degenerate correlations, different from degenerate polarities of PG(5,q^n).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.