Stability conditions via spherical objects

Stability conditions via spherical objects
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通过球形物体的稳定性条件

DOI:
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发表时间:
2010
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影响因子:
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通讯作者:
D. Huybrechts
D. Huybrechts
中科院分区:
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文献类型:
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作者:
D. Huybrechts

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复射影K3曲面X上凝聚层的有界导出范畴Db(X)中的对象是球面的,如果它是刚性的和简单的。虽然球形物体在复形的模栈中只形成一个离散的集合,但它们决定了X和Db(X)的大部分结构。在这里,我们表明,Db(X)的稳定性条件是由球形物体的稳定性。
An object in the bounded derived category Db(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 Db(X). Here we show that a stability condition on Db(X) is determined by the stability of spherical objects.
DOI: 10.1007/s00208-010-0627-y
发表时间: 2009-10
影响因子: 1.4
作者:
Christopher Brav;H. Thomas
通讯作者: Christopher Brav;H. Thomas
DOI: 10.1215/00127094-2009-043
发表时间: 2009
影响因子: 2.5
作者:
D. Huybrechts;E. Macrì;P. Stellari
通讯作者: P. Stellari