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 \({{\mathrm{PG}}}(2,q^n)\), 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. In this paper, we completely determine the sets of the absolute points of degenerate correlations, different from degenerate polarities, of a projective space \({{\mathrm{PG}}}(3,q^n)\). As an application we show that, for q even, some of these sets are related to the Segre’s \((2^h+1)\)-arc of \({{\mathrm{PG}}}(3,2^n)\) and to the Lüneburg spread of \({{\mathrm{PG}}}(3,2^{2h+1})\).

投射空间的（可能是简并的）极性的绝对点集是众所周知的。BC Kestenband在11篇论文中完全确定了（（可能退化的）相关性的绝对点集，不同于极性的\（{{\ mathrm {PG}}}（2，q ^ n）\）。 1990年至2014年，针对非简并相关，D'haeseleer和Durante（Electron J Combin 27（2）：2-32，2020年）针对简并相关。在本文中，我们完全确定了射影空间\（{{\ mathrm {PG}}}（3，q ^ n）\）的简并相关绝对点集，与简并极性不同。作为应用程序，我们表明，即使对于q，这些集合中的一些也与Segre的\（（2 ^ h + 1）\）- arc有关\（{{\ mathrm {PG}}}（3,2 ^ n）\）到Lüneburg的\（{{\ mathrm {PG}}}（3,2 ^ {2h + 1}）\）。