Perverse sheaves over real hyperplane arrangements

• 成果类型: Article
• 署名作者: Kapranov, Mikhail; Schechtman, Vadim
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2016.183.2.4
• 发表日期: 2016
• 页码: 619-679
• 关键词: holonomic d-modules; hyperfunction solutions; complexes; THEOREM

摘要

Let H be an arrangement of real hyperplanes in R. The complexification of H defines a natural stratification of C. We denote by Perv(C-n,H) the category of perverse sheaves on C-n smooth with respect to this stratification. We give a description of Perv(C-n,H)as the category of representations of an explicit quiver with relations, whose vertices correspond to real faces of H (of all dimensions). The relations are of monomial nature: they identify some pairs of paths in the quiver. They can be formulated in terms of the oriented matroid associated to H.