Smooth points of script Gor(T)

Journal of Pure and Applied Algebra

Volumn 122, Issue 3, 1997, Pages 209-241

  Geramita, A V ^a,b   Pucci, M ^c   Shin, Y S ^d,e  

^a QUEEN S UNIVERSITY   (Canada)

^b UNIVERSITY OF GENOA   (Italy)

^c UNIVERSITY OF PERUGIA   (Italy)

^d SunMoon University   (South Korea)

^e Sungshin Women's University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031576434     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(97)00052-2     Document Type: Article

References (22)

1. [1] J. Alexander, A. Hirschowitz, Polynomial interpolation in several variables, J. Algebraic Geom. 4 (1995) 201-222.
2. [2] M. Boji, D. Laksov, Nonunimodality of graded Gorenstein Artin algebras, Proc. Amer. Math. Soc. 120 (1994) 1083-1092.
3. [3] D. Bernstein, A. Iarrobino, A nonunimodal graded Gorenstein Artin algebra in codimension five, Comm. Alg. 20 (1992) 2323-2336.
4. [4] D. Buchsbaum, D. Eisenbud, Algebra structures for finite free resolutions and some structure theorems for ideals of codimension 3, Amer. J. Math. 99 (1977) 447-485.
5. [5] G. Campanella, Standard bases of perfect homogeneous polynomial ideals of height 2, J. Algebra 101 (1986) 47-60.
6. [6] C. Ciliberto, A.V. Geramita, F. Orecchia, Remarks on a Theorem of Hilbert-Burch, Boll. Un. Mat. Ital. B (7) 2-B (1988) 463-483.
7. [7] E.D. Davis, A.V. Geramita, P. Maroscia, Perfect homogeneous ideals: Dubreil's theorems revisited, Bull. Sci. Math. (2) 108 (1984) 143-185.
8. [8] E. DeNegri, G. Valla, The h-vector of a Gorenstein codimension three domain, preprint.
9. [9] S.J. Diesel, Irreducibility and dimension theorems for families of height 3 Gorenstein algebras, Pacific J. Math., to appear.
10. [10] A.V. Geramita, Waring's problem for forms: inverse systems of fat points, secant varieties and Gorenstein Algebras, Queen's Papers in Pure and Applied Math., No. 105 (1996) The Curves Seminar, Vol. X.
11. [11] A.V. Geramita, P. Maroscia, L. Roberts, The Hilbert function of a reduced K-algebra, J. London Math. Soc. (2) 28 (1983) 443-452.
12. 3, Comm. Algebra 17 (1989) 3129-3164.
13. [13] A.V. Geramita, J.C. Migliore, Reduced Gorenstein codimension three subschemes of projective space, Proc. Amer. Math. Soc., to appear.
14. [14] T. Harima, Some examples of unimodal Gorenstein sequences, preprint.
15. [15] A. Iarrobino, V. Kanev, The length of a homogeneous form, determinantal loci of catalecticants and Gorenstein algebras, preprint.
16. [16] A. Kustin, B. Ulrich, A family of complexes associated to an almost alternating map, with applications to residual intersections, AMS Memoirs, Vol. 95, No. 461 (1992) Providence, RI.
17. [17] J.C. Migliore, An introduction to deficiency modules and liaison theory for subschemes of projective space, Lecture Note Series, No. 24, Research Institute of Mathematics - Global Analysis Research Center, Seoul National University, Seoul, Korea.
18. [18] C. Peskine, L. Szpiro, Liaison des variétés algébriques, I, Invent. Math. 26 (1974) 271-302.
19. [19] C. Peterson, Powers of ideals and growth of the deficiency module, Queen's Papers in Pure and Applied Mathematics, No. 95, The Curves Seminar at Queen's: vol. IX (1993).
20. [20] L. Roberts, M. Roitman, On Hilbert functions of reduced and of integral algebras, J. Pure Appl. Algebra 56 (1989) 85-104.
21. [21] P. Schenzel, A note on Dubriel's theorems and the number of generators of perfect ideals of codimension 2, C.R. Math. Rep. Acad. Sci. Canada VI (1) (1984) 11-14.
22. [22] R. Stanley, Hilbert functions of graded algebras, Adv. Math. 28 (1978) 57-83.