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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Gröbner duality and multiple points in linearly general position

Author(s): Teo Mora
Journal: Proc. Amer. Math. Soc. 125 (1997), 1273-1282.
MSC (1991): Primary 13P10
MathSciNet review: 1363433
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Abstract | References | Similar articles | Additional information

Abstract: It is proved for each $d$, $1 \le d \le n-1$, that a primary $0$-dimensional scheme in $\mathbb {P}^{n}$ of degree $n+2+d$ in linearly general position lies in a rational normal scroll of dimension $d$.


References:

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E. Becker, M.G. Marinari, T. Mora, C. Traverso, The shape of the shape lemma, Proc. ISSAC'94, ACM, New York, 1994, pp. 129-133.

[2]
M.P. Cavaliere, M.E. Rossi, G. Valla, Quadrics through a set of points and their syzygies, Math. Z. 218 (1995), 25-42. MR 96a:13016

[3]
D. Eisenbud, J. Harris, Finite projective schemes in linearly general position, J. Algebraic Geometry 1 (1992), 15-30. MR 92i:14035

[4]
W. Gröbner, Algebraische Geometrie II, Bibliogr. Inst., Mannheim, 1970. MR 48:8499

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M.G. Marinari, T.Mora, H.M. Möller, On multiplicities in polynomial system solving, Trans. Amer. Math. Soc. 348 (1996), 3283-3321. MR 96k:13039.

[6]
-, Gröbner duality and multiplicities in polynomial system solving, Proc. ISSAC'95 (C. Traverso, ed.), ACM, New York, 1995, pp. 167-180.


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Additional Information:

Teo Mora
Affiliation: DIMA and DISI, Università di Genova, Viale Dodecaneso 35, 16146 Genova, Italy
Email: theomora@dima.unige.it

DOI: 10.1090/S0002-9939-97-03713-1
PII: S 0002-9939(97)03713-1
Received by editor(s): September 1, 1995
Received by editor(s) in revised form: November 5, 1995
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 1997, American Mathematical Society




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