Author

Tài Huy Hà

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Preprint Sep 2026

Frobenius dilation of Hilbert function, Demailly's conjecture, and varieties of powers

We prove a Frobenius-dilation inequality for Hilbert functions of ideals generated by powers of fixed homogeneous forms in characteristic zero. Via Emsalem--Iarrobino inverse system duality, it yields quantitative fat-point postulation estimates and a new proof of the recent theorem of Ha--Sivakumar resolving Demailly'...

T. Dinh, Tài Huy Hà · 2 citations

Preprint Sep 2026

Cohen-Macaulay higher conormal and K\"ahler differential modules of squarefree monomial ideals

Let $S=k[x_1,\ldots,x_n]$ and let $I=I_\Delta\subsetneq S$ be a nonzero squarefree monomial ideal. Motivated by the classical higher-order K\"ahler differential modules and by the theory of higher conormal modules, we study not only the higher conormal quotients $I/I^q$, but more generally the shifted quotients $I^r/I^...

Tài Huy Hà, Minh Công Nguyễn · 0 citations

Preprint Aug 2026

Polynomial interpolation and the Waldschmidt constant of points in projective space

We establish Chudnovsky's Conjecture and, more generally, Demailly's Conjecture for any finite set of points in $\mathbb{P}^n_k$, where $k$ is an algebraically closed field of characteristic 0. The key idea of passing to positive characteristic, as well as the broad plan of the proof, was suggested by ChatGPT-5.6 Sol....

Tài Huy Hà, Aniketh Sivakumar · 4 citations · ⚡1