Author

T. Dinh

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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

Demailly's Conjecture in Quantum Language and Its Solution

We give an exact translation between fat-point interpolation in complex projective space and a dark-state problem for fixed-particle-number bosons. Under the unitary Fischer--Bargmann realization, homogeneous degree becomes particle number, the Veronese lift becomes a bosonic symmetric product state, and order-$m$ vani...

T. Dinh · 0 citations