2013/09/30 by M. Falk, Michael Falk, Vadim Schechtman +6
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.CO
paper · pdf · doi:10.48550/arxiv.1309.7811
Latex, 19 pages
arxiv created 2013/09/30 · openalex publication_date 2013/09/30 · arxiv updated 2013/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 sl2 Bernstein - Gelfand - Gelfand resolution as an Aomoto complex.