On the Hilbert function and the minimal free resolution of the GF(q)-points of Del Pezzo surfaces of P^n

Authors

  • Edoardo Ballico
  • Antonino Cossidente

Abstract

Here we study the Hilbert function of the points rational over a fixed finite field  GF(q)q = pe of some Del Pezzo surfaces and of the Veronese plane. This work is motivated by the equivalence (due to Moorhouse) between the knowledge of the Hilbert function of a finite set of a projective space over GF(q) and the p-rank of its incidence matrix.

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Published

1998-10-01

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Section

Articoli