Some remarks on the derived categories of coherent sheaves on homogeneous spaces
Some remarks on the derived categories of coherent sheaves on homogeneous spaces
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关于齐次空间上相干滑轮的派生范畴的一些评论
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发表时间：
2006
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通讯作者：
Alexander Samokhin
中科院分区：
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作者：
Alexander Samokhin
本文首先证明了光滑基上平坦族凝聚层导出范畴中半正交分解的一个一般定理。然后，我们表明，衍生类别的相干层的旗品种的经典类型所产生的完整的例外收集。最后，我们在小秩辛群的某些齐性空间的导出范畴中找到了完全例外集。
In this paper we prove first a general theorem on semiorthogonal decompositions in derived categories of coherent sheaves for flat families over a smooth base. We then show that the derived categories of coherent sheaves on flag varieties of classical type are generated by complete exceptional collections. Finally, we find complete exceptional collections in the derived categories of some homogeneous spaces of the symplectic groups of small rank.