Operations on -structures and perverse coherent sheaves

Operations on -structures and perverse coherent sheaves
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结构和反相干滑轮上的操作

DOI:
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发表时间:
2013
期刊:
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通讯作者:
Alexey Bondal
Alexey Bondal
中科院分区:
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文献类型:
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作者:
Alexey Bondal

文献摘要

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我们引入了相容对和相容链的概念,证明了两个相容链的结构生成一个分配格。然后将这种方法应用于从凝聚层导出范畴上的标准结构和借助移位函子的对偶结构中得到的链对。这就产生了一个-结构族,其核心被称为反常相干层。
We introduce the notions of consistent pairs and consistent chains of -structures and prove that two consistent chains of -structures generate a distributive lattice. The technique developed is then applied to the pairs of chains obtained from the standard -structure on the derived category of coherent sheaves and the dual -structure by means of the shift functor. This yields a family of -structures whose hearts are known as perverse coherent sheaves.