论文标题
纤维三倍的稳定性条件
Stability conditions on fibred threefolds
论文作者
论文摘要
我们在纤维三倍的衍生类别上为bridgeland稳定性条件提供了猜想的结构。该结构取决于某些稳定复合物的猜想Bogomolov-Gieseker类型的不平等。它可以被认为是拜耳，马克和Toda的构建的相对版本。如果相对投影平面而不是曲线，我们证明了猜想的Bogomolov-Gieseker型不平等。这给出了这三倍的Bridgeland稳定条件的存在。
We give a conjectural construction of Bridgeland stability conditions on the derived category of fibred threefolds. The construction depends on a conjectural Bogomolov-Gieseker type inequality for certain stable complexes. It can be considered as a relative version of the construction of Bayer, Macrì and Toda. We prove the conjectural Bogomolov-Gieseker type inequality in the case of relative projective planes over curves. This gives the the existence of Bridgeland stability conditions on such threefolds.
