Ideals of general forms and the ubiquity of the Weak Lefschetz property

Journal of Pure and Applied Algebra

Volumn 182, Issue 1, 2003, Pages 79-107

  Migliore, Juan C ^a   Miro Roig R M ^b  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038669313     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(02)00314-6     Document Type: Article

References (26)

1. Anick D. Thin Algebras of embedding dimension three J. Algebra 100 1986 235-259
2. Aubry M. Série de Hilbert d'une algèbre de polynômes quotient J. Algebra 176 1995 392-416
3. Bass H. On the ubiquity of Gorenstein rings Math. Zeitschrift 82 1963 8-28
4. D. Bayer, M. Stillman, Macaulay: A system for computation in algebraic geometry and commutative algebra. Source and object code available for Unix and Macintosh computers. Contact the authors, or download from ftp://math.harvard.edu via anonymous ftp
5. Buchsbaum D. Eisenbud D. Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3 Amer. J. Math. 99 1977 447-485
6. K. Chandler, The geometric interpretation of Fröberg-Iarrobino conjectures on the Hilbert function of fat points, in preparation.
7. Davis E. Geramita A.V. Orecchia F. Gorenstein algebras and the Cayley-Bacharach theorem Proc. Amer. Math. Soc. 93 1985 593-597
8. Diesel S. Irreducibility and dimension theorems for families of height 3 Gorenstein algebras Pacific J. Math. 172 2 1996 365-397
9. Eisenbud D. Popescu S. Gale duality and free resolutions of ideals of points Invent. math. 136 1999 419-449
10. Fröberg R. An inequality for Hilbert series of graded algebras Math. Scand. 56 1985 117-144
11. T. Harima, J. Migliore, U. Nagel, J. Watanabe, The Weak and Strong Lefschetz properties for Artinian K-algebras, preprint.
12. Hochster M. Laksov D. The linear syzygies of generic forms Comm. Algebra 15 1987 227-239
13. Huneke C. Hyman Bass and ubiquity: Gorenstein rings Contemp. Math. 243 1999 55-78
14. Iarrobino A. Inverse system of a symbolic power III. Thin algebras and fat points Compos. Math. 108 1997 319-356
15. Iarrobino A. Kanev V. Power sums, Gorenstein algebras, and determinantal loci Lecture Notes in Mathematics Vol. 1721 1999 Springer Berlin
16. Ikeda H. Results on Dilworth and Rees number of Artinian local rings Jpn. J. Math. 22 1996 147-158
17. Lorenzini A. The minimal resolution conjecture J. Algebra 156 1993 5-35
18. J. Migliore, Introduction to Liaison Theory and Deficiency Modules, Progress in Mathematics, Vol. 165, Birkhäuser, New York, 1998, 224pp. Hardcover, ISBN 0-8176-4027-4.
19. Migliore J. Miró-Roig R. On the minimal free resolution of n+1 general forms Trans. Amer. Math. Soc. 355 1 2003 1-36
20. J. Migliore, U. Nagel, Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers, Adv. Math., to appear.
21. K. Pardue, B. Richert, Syzygies of Semi-Regular Sequences, preprint.
22. Stanley R. Weyl groups, the hard Lefschetz theorem, and the Sperner property SIAM J. Algebraic Discrete Methods 1 1980 168-184
23. Watanabe J. A note on Gorenstein rings of embedding codimension 3 Nagoya Math. J. 50 1973 227-282
24. J. Watanabe, The Dilworth number of Artinian rings and finite posets with rank function, Commutative Algebra and Combinatorics, Advanced Studies in Pure Math., Vol. 11, Kinokuniya Co. North-Holland, Amsterdam, 1987, pp. 303-312.
25. Watanabe J. The Dilworth number of Artin Gorenstein rings Adv. Math. 76 1989 194-199
26. Watanabe J. A Note on complete intersections of height three Proc. Amer. Math. Soc. 126 1998 3161-3168