Complete intersections in P2 through separating sequences

Carla Massaza, Giannina Beccari

Abstract


In this paper we characterize the finite sets of points in P2, arising as a complete intersection of two curves, by means of their realizable sequences. Actually, we show that a reduced 0-dimensional scheme in P2 is a complete intersection of type (a, b) iff all its realizable sequences can be obtained by means of direct transpositions from a special one Mab.

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DOI: http://dx.doi.org/10.1478/C1A0702003