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math.RA2026
Singular Cholesky Fibers over Finite Fields
Hongfeng Wu, Kai Zhou
For a finite field $\F_q$, consider the triangular Cholesky map from upper triangular matrices to symmetric matrices. Generalized Cholesky theory describes the re…
math.NT2026
A New Characteristic-Uniform Model for Elliptic Curves -- Theory, Arithmetic, and Applications
Hongfeng Wu
We develop a characteristic-uniform arithmetic theory for \[ \mathcal C_d:\quad (u^2+u)(v^2+v)=d. \] For \(d(1-16d)\ne0\), its smooth \((2,2)\)-completion has four rational boundar…
math.CO2026
First Subconstituents of Orthogonal Graphs in Even Characteristic:Automorphisms, Cliques, Cores, and Binary Triple Transitivity
Kai Zhou, Hongfeng Wu
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 f…