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Classification conjecture for $(q+1)$ -tight sets of the Hermitian variety $\mathcal H(4,q^2)$
Tight-set classification conjecture. Every $(q+1)$ -tight set of $\mathcal H(4,q^2)$ that is not the union of $q+1$ lines is the set of points of an embedded $\mathcal W(3,q)$ , or,…
Conjecturesolvedfinite-geometry polar-spaces tight-setsarXiv posted 2 days ago

Classification conjecture for (q+1)(q+1)(q+1)-tight sets of the Hermitian variety H(4,q2)\mathcal H(4,q^2)H(4,q2)