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math.AG2026
Derivations of Generalized Moduli Algebras of Isolated Hypersurface Singularities
Zhiwen Liu, Stephen S. -T. Yau
Let be an isolated complex hypersurface singularity defined by . Let be the moduli(Tjurina) algebra, let be the generalize…
math.AG2026
Nakai conjectures for isolated weighted homogeneous hypersurface singularities
Stephen S. -T. Yau, Qiwei Zhu, Huaiqing Zuo
The long-standing Nakai Conjecture asks whether differential operators detect singularities on algebraic varieties. On a smooth variety over a field of characteristic zero, the rin…