T. Nguyen

collaborators

2 papers

math.CV2026

$L^{p}$ Estimates for the $\partial ˉ$ -Problem on Rational Hartogs Triangles

Tran Vu Khanh, Tu Nguyen

We investigate $L^{p}$ estimates for the $\partial ˉ$ -problem on rational Hartogs triangles $H_{m / n} = {(z_{1}, z_{2}) \in C^{2} : ∣ z_{1} ∣^{m} < ∣ z_{2} ∣^{n} < 1}$ . For $p…

math.AC2024

The vanishing of the first tight Hilbert coefficient for Buchsbaum rings

Duong Thi Huong, Nguyen Tuan Long, Pham Hung Quy

We prove that if the first tight Hilbert coefficient vanishes then ring is $F$ -rational provided it is a Buchsbaum local ring satisfying the $(S_{2})$ condition.

Lp Estimates for the ∂ˉ-Problem on Rational Hartogs Triangles

The vanishing of the first tight Hilbert coefficient for Buchsbaum rings

$L^{p}$ Estimates for the $\partial ˉ$ -Problem on Rational Hartogs Triangles