On the Bogomolov-Gieseker inequality for hypersurfaces in the projective spaces
arXiv:2008.09799
Abstract
We investigate the stronger form of the Bogomolov-Gieseker inequality on smooth hypersurfaces in the projective space of any degree and dimension. The main technical tool is the theory of tilt-stability conditions in the derived category.
12 pages, 2 figures, improvements based on referee's comments, to appear in Mathematical Research Letters