Complete intersections in P^2 through separating sequences

Complete intersections in P^2 through separating sequences

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 obtai...

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Main Authors: Massaza, Carla, Beccari, Giannina
Format: Article
Language:English
Published: Accademia Peloritana dei Pericolanti 2007-10-01
Series:Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
Online Access:http://dx.doi.org/10.1478/C1A0702003
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spelling doaj-96a96f1dec95433b9349fd054359b4e62020-11-25T00:59:41ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422007-10-01LXXXV2c1a070200310.1478/C1A0702003Complete intersections in P^2 through separating sequencesMassaza, CarlaBeccari, GianninaIn 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. http://dx.doi.org/10.1478/C1A0702003
collection DOAJ
language English
format Article
sources DOAJ
author Massaza, Carla
Beccari, Giannina
spellingShingle Massaza, Carla
Beccari, Giannina
Complete intersections in P^2 through separating sequences
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
author_facet Massaza, Carla
Beccari, Giannina
author_sort Massaza, Carla
title Complete intersections in P^2 through separating sequences
title_short Complete intersections in P^2 through separating sequences
title_full Complete intersections in P^2 through separating sequences
title_fullStr Complete intersections in P^2 through separating sequences
title_full_unstemmed Complete intersections in P^2 through separating sequences
title_sort complete intersections in p^2 through separating sequences
publisher Accademia Peloritana dei Pericolanti
series Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
issn 0365-0359
1825-1242
publishDate 2007-10-01
description 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.
url http://dx.doi.org/10.1478/C1A0702003
work_keys_str_mv AT massazacarla completeintersectionsinp2throughseparatingsequences
AT beccarigiannina completeintersectionsinp2throughseparatingsequences
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