论文标题
仿射Noetherian方案的稳定条件
Stability conditions on affine Noetherian schemes
论文作者
论文摘要
我们表明，在有限的派生类别$ \ mathbf {d}^{b}（x）$上，在Aggine noetherian方案$ x $上等同于$ \ dim x = 0 $，在有限的派生类别$ \ mathbf {d}^{b}（x）$上存在本地有限的稳定条件。我们还研究了方案$ x $的派生类别中的形态类别的稳定条件的空间$ \ mathbf m_ {x} $，并表明$ \ mathbf {d}^{b}^{b}^{b}（b}（x）（x）$和$ \ mathbf {mathbf {m} _ {x _ {x} $的稳定条件的空间
We show that the existence of locally finite stability conditions on the bounded derived category $\mathbf{D}^{b}(X)$ of coherent sheaves on an affine Noetherian scheme $X$ is equivalent to $\dim X=0$. We also study the spaces of stability conditions on the category of morphisms $\mathbf M_{X}$ in the derived category of the scheme $X$ and show that the spaces of stability conditions on $\mathbf{D}^{b}(X)$ and $\mathbf{M}_{X}$ are homotopy equivalent to each other.
