论文标题
一个有趣的墙壁交叉：墙壁交叉/MMP对应的失败
An interesting wall-crossing: Failure of the wall-crossing/MMP correspondence
论文作者
论文摘要
我们表明，稳定的滑轮的异常几何形状无法检测到Bridgeland稳定性中的壁划入，反之亦然。在规范属的四个曲线的稳定空间中有一个壁，这不会引起最小模型程序的一步。更准确地说，我们举了一个示例，说明了$ \ mathrm {d}^{b}（\ mathbb {p}^{3}）$中的墙壁划线，以至于：墙壁可引起与稳定对象相关的稳定对象的微小缩写，但与邻近的钱伯斯（Chambers Chambers）相关，但与其他偏见相关。这与代数几何形状的稳定性条件的应用相对应中的整体情况显着复杂。
We show that the wall-crossing in Bridgeland stability fails to be detected by the birational geometry of stable sheaves, and vice versa. There is a wall in the stability space of canonical genus four curves which does not induce a step in the Minimal Model Program. More precisely, we give an example of a wall-crossing in $\mathrm{D}^{b}(\mathbb{P}^{3})$ such that: the wall induces a small contraction of the moduli space of stable objects associated to one of the adjacent chambers, but a divisorial contraction to the other. This significantly complicates the overall picture in this correspondence to applications of stability conditions to algebraic geometry.
