REFERENCES
- Bernstein , D. , Iarrobino , A. ( 1992 ). A non-unimodal graded Gorenstein Artin algebra in codimension five . Comm. Algebra 20 ( 8 ): 2323 – 2336 . [CSA]
- Bigatti , A. M. , Geramita , A. V. ( 2003 ). Level algebras, lex segments and minimal Hilbert function . Comm. Algebra 31 : 1427 – 1451 . [CSA]
- Boij , M. ( 1995 ). Graded Gorenstein Artin algebras whose Hilbert fuctions have a large number of valleys . Comm. Algebra 23 ( 1 ): 97 – 103 . [CSA]
- Boij , M. , Laksov , D. ( 1994 ). Nonunimodality of graded Gorenstein Artin algebras . Proc. Amer. Math. Soc. 120 : 1083 – 1092 . [CSA]
- Bruns , W. , Herzog , J. ( 1998 ). Cohen-Macaulay Rings . Cambridge Stud. Adv. Math., No. 39. Revised edition . Cambridge , U.K.
- Cho , Y. H. , Iarrobino , A. ( 2001 ). Hilbert functions and level algebras . J. Algebra 241 : 745 – 758 . [CSA]
- Cho , Y. H. , Iarrobino , A. Inverse systems of zero-dimensional schemes in P n . J. Algebra . To appear . [CSA]
- Diesel , S. J. ( 1996 ). Irreducibility and dimension theorems for families of height 3 Gorenstein algebras . Pac. J. Math. 172 ( 2 ): 365 – 397 . [CSA]
- Fröberg , R. , Laksov , D. ( 1984 ). Compressed algebras . In: Conference on Complete Inter-sections in Acireale . Lecture Notes in Mathematics. 1092 . Springer Verlag , pp. 121 – 151 .
- Geramita , A. V. ( 1996 ). Inverse Systems of Fat Points: Waring's Problem, Secant Varieties and Veronese Varieties and Parametric Spaces of Gorenstein Ideals . Queen's Papers in Pure and Applied Mathematics, No. 102. The Curves Seminar at Queen's Vol. X , pp. 3 – 114 .
- Geramita , A. V. , Harima , T. , Migliore , J. , Shin , Y. S. The Hilbert function of a level algebra . Memoir of the Amer. Math. Soc . To appear . [CSA]
- Geramita , A. V. , Pucci , M. , Shin , Y. S. ( 1997 ). Smooth points of GOR(T) . J. Pure Appl. Algebra 122 : 209 – 241 . [CSA]
- Geramita , A. V. , Harima , T. , Shin , Y. S. ( 2003 ). Some special configurations of points in P n . J. Algebra 268 ( 2 ): 484 – 518 . [CSA]
- Gotzmann , G. ( 1978 ). Eine bedingung für die flachheit und das Hilbertpolynom cines graduierten ringes . Math. Z. 158 ( 1 ): 61 – 70 . [CSA]
- Harima , T. ( 1995 ). Some examples of unimodal Gorenstein sequences . J. Pure Appl. Algebra 103 ( 3 ): 313 – 324 . [CSA]
- Iarrobino , A. Hilbert functions of Gorenstein algebras associated to a pencil of forms . Preprint (math.AC/0412361). Proc. of the Conference on Projective Variaties with Unexpected Properties (Siena 2004) , In: et al. ., eds. (de Gruyter). To appear .
- Iarrobino , A. ( 1984 ). Compressed algebras: Artin algebras having given socle degrees and maximal length . Trans. Amer. Math. Soc. 285 : 337 – 378 . [CSA]
- Iarrobino , A. ( 2004 ). Ancestor ideals of vector spaces of forms and level algebras . J. Algebra 272 : 530 – 580 . [CSA]
- Iarrobino , A. , Kanev , V. ( 1999 ). Power Sums, Gorenstein Algebras, and Determinantal Loci . Springer Lecture Notes in Mathematics, No. 1721 . Heidelberg : Springer .
- Iarrobino , A. , Srinivasan , H. ( 2005 ). Some Gorenstein Artin algebras of embedding dimension four, I: components of PGOR(H) for H = (1,4,7,…,1) . J. Pure Appl. Algebra 201 : 62 – 96 [CSA]
- Macaulay , F. H. S. ( 1916 ). The Algebraic Theory of Modular Systems . Cambridge , U.K. : Cambridge Univ. Press .
- Migliore , J. , Nagel , U. ( 2003 ). Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers . Adv. Math. 180 : 1 – 63 . [CSA]
- Söderberg , J. (2004). Artinian level modules and cancellable sequences. J. Algebra 280(2):610–623. [CSA]
- Stanley , R. ( 1977 ). Aigner , M. , ed. Cohen-Macaulay Complexes, Higher Combinatorics . Reidel, Dordrecht, and Boston , pp. 51 – 62 .
- Stanley , R. ( 1978 ). Hilbert functions of graded algebras . Adv. Math. 28 : 57 – 83 . [CSA]
- Zanello , F. ( 2003 ). Extending the ideal of compressed algebra to arbitrary socle-vectors . J. Algebra 270 ( 1 ): 181 – 198 . [CSA]
- Zanello , F. ( 2004 ). Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence . J. Algebra 275 ( 2 ): 730 – 748 . [CSA]
- Communicated by W. Bruns.