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math.AC2026
Observation Nuclei in Affine Geometry: Symbolic Powers, Fat Points, and Infinitesimal Recovery
Dang Vo Phuc
This paper integrates point-dependent infinitesimal data into affine geometry through quantale nuclei and finitary weak ideal systems. For a subset and a bounded…
math.AC2025
On modular invariants of the truncated polynomial ring in rank four
Dang Vo Phuc
We prove the rank-4 case of the conjecture of Ha-Hai-Nghia for the invariant subspace of the truncated polynomial ring $\mathcal{Q}_m(n)=\mathbb{F}_q[x_1,\dots,x_n]/(x_1^{q^m},\dot…