Author

Kai Zhou

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Preprint Sep 2026

Singular Cholesky Fibers over Finite Fields

For a finite field $\F_q$, consider the triangular Cholesky map $\Gamma_{n,q}(U)=U^TU$ from upper triangular matrices to symmetric matrices. Generalized Cholesky theory describes the regular locus on which all leading principal minors are nonzero, but it does not determine the multiplicities or root ranks in a fiber ov...

Hong-Feng Wu, Kai Zhou · 0 citations

Preprint Aug 2026

First Subconstituents of Orthogonal Graphs in Even Characteristic:Automorphisms, Cliques, Cores, and Binary Triple Transitivity

In even characteristic, the first subconstituent of an orthogonal graph at a singular point is shown to be the complement of an affine polar graph. This identification yields the full automorphism group as an affine semisimilarity group and provides explicit extensions to the ambient graph. Maximum independent sets are...

Kai Zhou, Hong-Feng Wu · 0 citations