Subspace Arrangements over Finite Fields: Cohomological and Enumerative Aspects

  title={Subspace Arrangements over Finite Fields: Cohomological and Enumerative Aspects},
  author={TORSTEN EKEDAHLAbstract},
  • Published 1997
The enumeration of points on (or oo) the union of some linear or aane subspaces over a nite eld is dealt with in combinatorics via the characteristic polynomial and in algebraic geometry via the zeta function. We discuss the basic relations between these two points of view. Counting points is also related to thè-adic cohomology of the arrangement (as a variety). We describe the eigen-values of the Frobenius map acting on this cohomology, which corresponds to a ner decomposition of the zeta… CONTINUE READING
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