Annali di Matematica Pura ed Applicata

, Volume 159, Issue 1, pp 341–355 | Cite as

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

  • M. Salvetti
  • M. C. Prati


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.


Local System Triple Point Hypergeometric Function Homology Group Affine Space 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1991

Authors and Affiliations

  • M. Salvetti
    • 1
  • M. C. Prati
    • 2
  1. 1.Dipartimento di MatematicaUniversità di PisaPisa
  2. 2.I.N.F.N.Scuola Normale SuperiorePisa

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