论文标题
不正当的Schobers和GKZ系统
Perverse schobers and GKZ systems
论文作者
论文摘要
不正当的学者是反向或骨的分类。在先前的工作中，我们在Halpern-Leistner和SAM与还原组的准对称表示相关的弦乐KählerOduli空间（SKMS）的部分紧凑型上构建了一个不正当的Schober。当组是圆环时，SKMS对应于GKZ判别基因座的补充（这是风筝显示的准对称情况中的超平面布置）。我们在这里表明，在非共鸣参数的情况下，我们构建的合适的变体对关联的GKZ超几何系统提供了分类。作为中间结果，我们描述了这种“准对称” GKZ高几何系统的单轨道。
Perverse schobers are categorifications of perverse sheaves. In prior work we constructed a perverse schober on a partial compactification of the stringy Kähler moduli space (SKMS) associated by Halpern-Leistner and Sam to a quasi-symmetric representation of a reductive group. When the group is a torus the SKMS corresponds to the complement of the GKZ discriminant locus (which is a hyperplane arrangement in the quasi-symmetric case shown by Kite). We show here that a suitable variation of the perverse schober we constructed provides a categorification of the associated GKZ hypergeometric system in the case of non-resonant parameters. As an intermediate result we give a description of the monodromy of such "quasi-symmetric" GKZ hypergeometric systems.
