%0 Journal Article
%T BGG resolutions via configuration spaces
%A M. Falk
%A V. Schechtman
%A A. Varchenko
%J Mathematics
%D 2013
%I arXiv
%X We study the blow-ups of configuration spaces. These spaces have a structure of what we call an Orlik-Solomon manifold; it allows us to compute the intersection cohomology of certain flat connections with logarithmic singularities using some Aomoto type complexes of logarithmic forms. Using this construction we realize geometrically the sl_2 Bernstein - Gelfand - Gelfand resolution as an Aomoto complex.
%U http://arxiv.org/abs/1309.7811v1