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Abstract for 
Volkmar Welker,
Colored partitions and a Generalization of the Braid Arrangement

We study the topology and combinatorics of an arrangement
of hyperplanes in ${\bf C}^n$ that generalizes the classical
braid arrangement. The arrangement plays in important role
in the work of Schechtman and Varchenko on Lie algebra homology,
where it appears in a generic fiber of a projection of the braid
arrangement.  The study of the intersection lattice of the
arrangement leads to the definition of lattices of colored
partitions. A detailed combinatorial analysis then provides
algebro-geometric and topological properties of the complement
of the arrangement. Using results on the character of $S_n$ on
the cohomology of these arrangements we are able to deduce the
rational cohomology of certain spaces of polynomials in the
complement of the standard discriminant that have no root in
the first $s$ integers.

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