Segre bound for the regularity index of fat points in ℙ3

Journal of Pure and Applied Algebra

Volumn 151, Issue 2, 2000, Pages 197-214

  Van Thiên, Phan ^a  

^a Department of Mathematics   (Viet Nam)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034720887     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0022-4049(99)00055-9     Document Type: Article

References (12)

1. 2, J. Algebra 142 (1991) 81-100.
2. [2] M.V. Catalisano, Fat points on a conic, Comm. Algebra 19 (1991) 2153-2168.
3. [3] M.V. Catalisano, N.V. Trung, G. Valla, A sharp bound for the regularity index of fat points in general position, Proc. Amer. Math. Soc. 118 (1993) 717-724.
4. [4] E.D. Davis, A.V. Geramita, The Hubert function of a special class of 1-dimensional Cohen-Macaulay graded algebras, in: The Curves Seminar at Queen's, Queen's Papers in Pure and Appl. Math., vol. 67, 1984, pp. 1-29.
5. [5] G. Fatabbi, Regularity index of fat points in the projective plane, J. Algebra 170 (1994) 916-928.
6. [6] W. Fulton, Algebraic Curves, Math. Lect. Note Series, Benjamin, New York, 1969.
7. [7] A. Gimigliano, Regularity of linear systems of plane curves, J. Algebra 124 (1989) 447-460.
8. [8] A. Gimigliano, Our thin knowledge on fat points, in: The Curves Seminar at Queen's VI, Queen's Papers in Pure and Appl. Math., vol. 83, 1989, pp. 1B-50B.
9. [9] A. Hirschowitz, La méthode d'Horace pour l'interpolation à plusieurs variables, Manus. Math. 50 (1985) 337-338.
10. [10] B. Segre, Alcune questioni su insiemi finiti di punti in geometria algebrica, Atti. Convergno. Intern, di Torino, 1961, pp. 15-33.
11. n, Kodai Math. J. 17 (1994) 382-389.
12. [12] N.V. Trung, G. Valla, Upper bounds for the regularity index of fat points with uniform position property, J. Algebra 176 (1995) 182-209.