Equivalences of equivariant derived categories
Equivalences of equivariant derived categories
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DOI：
10.1112/jlms/jdv014
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发表时间：
2014-11
期刊：
影响因子：
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通讯作者：
Andreas Krug;P. Sosna
中科院分区：
文献类型：
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作者：
Andreas Krug;P. Sosna
我们调查的条件之间的傅立叶-向井变换的连贯层光滑的射影堆栈赋予有限群的行动，以提升到相关的等变的派生类别。作为应用，我们给出了一个条件，在此条件下不能导出一个等价于簇的整体商栈。我们也将我们的技术应用到广义库默堆栈和对称的矩阵。
We investigate conditions for a Fourier–Mukai transform between derived categories of coherent sheaves on smooth projective stacks endowed with actions by finite groups to lift to the associated equivariant derived categories. As an application, we give a condition under which a global quotient stack cannot be derived equivalent to a variety. We also apply our techniques to generalized Kummer stacks and symmetric quotients.