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math.AG2026
Spectrum, Tjurina spectrum, and Hertling conjecture for singularities of modality
Quan Shi, Yang Wang, Huaiqing Zuo
Spectrum is an important numerical invariant of an isolated hypersurface singularity, connecting its topological and analytic structures. The well-known Hertling conjecture tells t…
math.AG2026
A remarkable subset of poles of the motivic zeta function
Nero Budur, Eduardo de Lorenzo Poza, Quan Shi +1
For any polynomial f with complex coefficients we find a remarkable subset of poles of the motivic zeta function. It is combinatorially determined by any log resolution and it admi…