In this paper we characterize the finite sets of points in P^2, arising as a complete intersection of two curves, by means of their realizable sequences. Actually, we show that a reduced 0-dimensional scheme in P^2 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 .

Complete intersections in P2 through separating sequences / Massaza, Carla; Beccari, Giannina. - In: ATTI DELL'ACCADEMIA PELORITANA DEI PERICOLANTI. CLASSE II, SCIENZE MEDICO-BIOLOGICHE. - ISSN 1828-6550. - 85:(2007), pp. 1-15. [10.1478/C1A0702003]

Complete intersections in P2 through separating sequences

MASSAZA, Carla;BECCARI, GIANNINA
2007

Abstract

In this paper we characterize the finite sets of points in P^2, arising as a complete intersection of two curves, by means of their realizable sequences. Actually, we show that a reduced 0-dimensional scheme in P^2 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 .
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1656943
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