通过球形物体的稳定性条件
Stability conditions via spherical objects
摘要：
复射影K3曲面X上凝聚层的有界导出范畴D^b（Coh（X））中的对象是球面的，如果它是刚性和简单的。虽然球形物体在复形的模堆叠中只形成一个离散集，但它们决定了X和D^b（Coh（X））的大部分结构。这里我们证明了D^b（Coh（X））的稳定性条件是由球形物体的稳定性决定的。
英文摘要：
An object in the bounded derived category D^b(Coh(X)) of coherent sheaves on a complex projective K3 surface X is spherical if it is rigid and simple. Although spherical objects form only a discrete set in the moduli stack of complexes, they determine much of the structure of X and D^b(Coh(X)). Here we show that a stability condition on D^b(Coh(X)) is determined by the stability of spherical objects.
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