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math.AC2026
The Hassanzadeh-Nasrollah Nejad-Simis Conjecture on Euler Conductors
Yizhi Zhang, Huaiqing Zuo
We prove the Hassanzadeh-Nasrollah Nejad-Simis conjecture: if has an isolated critical point and , t…
math.AC2025
On jet closures of singularities
Yifan Chen, Huaiqing Zuo
The jet closure and jet support closure were first introduced by de Fernex, Ein and Ishii to solve the local isomorphism problem. In this paper, we introduce two local algebras ass…
math.AC2024
Bernstein-Sato functional equations for ideals in positive characteristic
Siyong Tao, Zida Xiao, Huaiqing Zuo
For an ideal of a regular $\cc$-algebra, its Bernstein-Sato polynomial is the monic polynomial of the lowest degree satisfying an Bernstein-Sato functional equation. We generalize…