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math.AG2026
Generalized Bogomolov--Gieseker inequalities via Frobenius
Chunyi Li, Zhiyu Liu, Alexander Perry +1
We establish a Bogomolov--Gieseker-type inequality for tilt-semistable objects on smooth projective varieties of dimension , in the spirit of the Bayer--Macrì--Toda conject…
math.AG2026
Stability conditions and moduli spaces on projective families
Chunyi Li, Zhiyu Liu, Ziqi Liu +4
We extend the construction of stability conditions on projective schemes over a field to projective families over an arbitrary base, and prove that they admit proper relative modul…