BGG resolutions via configuration spaces
Algebraic Geometry
2013-10-01 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.1309.7811,
title = {BGG resolutions via configuration spaces},
author = {M. Falk and V. Schechtman and A. Varchenko},
journal= {arXiv preprint arXiv:1309.7811},
year = {2013}
}
Comments
Latex, 19 pages