论文标题
Bogomolov-Gieseker类型的统治三重不平等现象
Bogomolov-Gieseker type inequalities on ruled threefolds
论文作者
论文摘要
我们加强了作者的猜想。该猜想是一种Bogomolov-gieseker型不平等，涉及纤维三倍上混合倾斜复合物的第三个Chern特征。我们将其从混合倾斜的零件的复合物扩展到任意的相对倾斜斜率。我们表明，这种更强大的猜想意味着Bridgeland稳定性条件的支持特性以及显式稳定条件的存在。我们证明了我们对统治三倍的猜想，从而改善了作者的先前结果。
We strengthen a conjecture by the author. This conjecture is a Bogomolov-Gieseker type inequality involving the third Chern character of mixed tilt-stable complexes on fibred threefolds. We extend it from complexes of mixed tilt-slope zero to arbitrary relative tilt-slope. We show that this stronger conjecture implies the support property of Bridgeland stability conditions, and the existence of explicit stability conditions. We prove our conjecture for ruled threefolds, hence improving a previous result by the author.
