On local systems over complements to arrangements of hyperplanes associated to grassmann strata

1618-1891

Springer Online Journal Archives 1860-2000

Mathematics

Summary In the first two parts we recall the construction of generalized hypergeometric functions and of the cellular complex homotopy equivalent to the complement of a family of hyperplanes in CN. In the third part we find a generalization of some results in [2] about the homology of local systems on an affine space less some hyperplanes. Our method is based on [7] and it gives also informations about the cellular complex there constructed. In the last part explicit bases for the only non-vanishing homology group are described in terms of the cells of the above mentioned complex. The configurations of hyperplanes which we examine are those giving fundamental strata in the grassmanian ([2], [3]) and strata in G3,n allowing also triple points.

Electronic Resource