On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces
E. Ballico; R. Notari; M. Spreafico
Open Mathematics (2003)
- Volume: 1, Issue: 4, page 644-649
- ISSN: 2391-5455
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topE. Ballico, R. Notari, and M. Spreafico. "On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces." Open Mathematics 1.4 (2003): 644-649. <http://eudml.org/doc/268722>.
@article{E2003,
abstract = {Here we show the existence of strong restrictions for the Hilbert function of zerodimensional curvilinear subschemes of P n with one point as support and with high regularity index.},
author = {E. Ballico, R. Notari, M. Spreafico},
journal = {Open Mathematics},
keywords = {14N05},
language = {eng},
number = {4},
pages = {644-649},
title = {On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces},
url = {http://eudml.org/doc/268722},
volume = {1},
year = {2003},
}
TY - JOUR
AU - E. Ballico
AU - R. Notari
AU - M. Spreafico
TI - On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces
JO - Open Mathematics
PY - 2003
VL - 1
IS - 4
SP - 644
EP - 649
AB - Here we show the existence of strong restrictions for the Hilbert function of zerodimensional curvilinear subschemes of P n with one point as support and with high regularity index.
LA - eng
KW - 14N05
UR - http://eudml.org/doc/268722
ER -
References
top- [1] C. Ciliberto and R. Miranda: “Interpolations on curvilinear schemes”, J. Algebra, Vol. 203, (1998), pp. 677–678. http://dx.doi.org/10.1006/jabr.1997.7241
- [2] Ph. Ellia and Ch. Peskine: “Groupes de points de P 2: caractere et position uniform”, In: Algebraic Geometry, Proceedings, L'Aquila 1988, pp. 111–116, Lect. Notes in Math. 1417, Springer-Verlag, 1990.
- [3] G. Fatabbi and A. Lorenzini: “On a sharp bound for the regularity index of any set of fat points”, J. Pure Appl. Algebra, Vol. 161, (2001), pp. 91–111. http://dx.doi.org/10.1016/S0022-4049(00)00083-9 Zbl0994.14028
- [4] A.V. Geramita, P. Maroscia, L. Roberts: “The Hilbert function of a reduced k-algebra”, J. London Math. Soc., Vol. 28, (1993), pp. 443–452. Zbl0535.13012
- [5] P.V. Thiên: “Segre bound for the regularity index of fat points in P 3”, J. Pure Appl. Alg., Vol. 151, (2000), pp. 197–214. http://dx.doi.org/10.1016/S0022-4049(99)00055-9 Zbl0963.14023
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