Preprint
Oct 2026
Generalized Bogomolov--Gieseker inequalities via Frobenius
We establish a Bogomolov--Gieseker-type inequality for tilt-semistable objects on smooth projective varieties of dimension $\geq 3$, in the spirit of the Bayer--Macr\`i--Toda conjecture. A key ingredient is an analysis of the action of the Frobenius morphism on tilt-semistable objects. As an application, we prove the C...
Chun-Yi Li, Zhi-Yu Liu, Alexander Perry et al.
· 1 citation
· ⚡1