Localization of $\frak{u}$-modules. I. Intersection cohomology of real arrangements
| dc.creator | Finkelberg, M. | |
| dc.creator | Schechtman, V. | |
| dc.date | 1994-11-07 | |
| dc.date | 1994-12-29 | |
| dc.date.accessioned | 2026-07-07T09:03:49Z | |
| dc.date.available | 2026-07-07T09:03:49Z | |
| dc.description | This paper is the first in a series. The main goal of the series is to present a geometric construction of certain remarkable tensor categories arising from quantum groups coresponding to the value of deformation parameter $q$ equal to a root of unity. In the present paper we study perverse sheaves over a complex affine space which are smooth along the stratification determined by a finite arrangement of complex affine hyperplanes defined by real equations. In particular, we construct explicitely (in terms of combinatorial data) complexes computing cohomology of Goresky-MacPherson extensions of one-dimensional local systems over the complement of hyperplanes. | |
| dc.description | 26 pages, amslatex. A misprint corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9411050 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9411050 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149157 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Localization of $\frak{u}$-modules. I. Intersection cohomology of real arrangements | |
| dc.type | text |