On stability conditions for the quintic threefold
On stability conditions for the quintic threefold
We study the Clifford type inequality for a particular type of curves $$C_{2,2,5}$$ , which are contained in smooth quintic threefolds. This allows us to prove some stronger Bogomolov–Gieseker type inequalities for Chern characters of stable sheaves and tilt-stable objects on smooth quintic threefolds. Employing the previous framework by Bayer, …