On the Hilbert function of curvilinear zero-dimensional subschemes of projective spaces

• Autorzy: E. Ballico , R. Notari , M. Spreafico
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

zero-dimensional scheme; regularity index; minimal free resolution; 14N05

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 4
• Strony: 644-649

Daty

wydano

2003-12-01

online

2003-12-01

Twórcy

autor

E. Ballico

• University of Trento

autor

R. Notari

• Politecnico di Torino

autor

M. Spreafico

• Politecnico di Torino

Bibliografia

• [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
• [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.
• [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

Identyfikatory

DOI

10.2478/BF02475184