References
- Abrescia , S. , Bazzotti , L. and Marino , L. 1993 . Conductor degree and socle degree . Le Matematiche , (to appear)
- Bigatti , A. M. 1993 . Upper bounds for the Betti numbers of a given Hilbert function . Comm. Algebra , 21 ( 7 ) : 2317 – 2334 .
- Charalambous , H. and Evans , E. G. 1994 . Resolutions with a given Hilbert functions . Contemporary Math. , 159 : 19 – 26 .
- Cho , Y. and Iarrobino , A. 2001 . Hilbert functions and level algebras . J. Algebra , 241 : 745 – 758 .
- Eliahou , S. and Kervaire , M. 1990 . Minimal resolution of some monomial ideals . J. Algebra , 129 : 1 – 25 .
- Evans , E. G. and Richert , B. P. 2000 . Possible resolutions for a given Hilbert function . Comm. Algebra , (to appear)
- Fröberg , R. and Laksov , D. 1984 . “ Compressed algebras ” . In Conf. on Complete Intersescions in Acireale , Volume 1092 of Lecture Notes in Mathematics Edited by: Greco , S. and Strano , R. 121 – 151 . Springer-Verlag .
- Geramita, A. V., Harima, T. Shin, Y. S. Some special configurations of points in ℙ n . J. Algebra (to appear)
- Geramita , A. V. , Kreuzer , M. and Robbiano , L. 1993 . Cayley-Bacharach schemes and their canonical modules . Trans. Amer. Math. Soc. , 339 : 163 – 189 .
- Geramita , A. V. , Harima , T. and Shin , Y. S. 2000 . Extremal point sets and Gorenstein ideals . Adv. in Math. , 152 : 78 – 119 .
- Green , M. Restriction of linear series to hyperplanes, and some results of Macaulay and Gotzmann, algebraic curves and projective geometry . In: Proceedings, Trento, No. 1389 Lecture Notes in Mathematics.
- Hartshorne , R. 1966 . Connectedness of the Hilbert scheme . Inst. Hautes Études Sci. Publ. Math. , 29 : 5 – 48 .
- Hulett , H. 1993 . Maximum Betti numbers of homogeneous ideals with a given Hilbert function . Comm. Algebra , 21 ( 7 ) : 2335 – 2350 .
- Iarrobino , A. 1984 . Compressed algebras: Artin algebras having given socle degrees and maximal length . Trans. Amer. Math. Soc. , 285 : 337 – 378 .
- Kreuzer , B. and Kreuzer , M. 1998 . Extremal zero dimensional subschemes of ℙ2 . J. Pure App. Algebra , 131 : 159 – 177 .
- Macaulay , F. S. 1927 . Some properties of enumeration in the theory of modular systems . Proc. London Math. Soc. , 26 : 531 – 555 .
- Pardue , K. 1996 . Deformation classes of graded modules and maximal Betti numbers . Illinois J. Math. , 40 : 564 – 585 .
- Robbiano , L. 1990 . Introduction to the theory of Hilbert function . Queen's Papers in Pure Appl. Math. , 85 : B1 – B26 .
- Sabourin , S. 2002 . N-type vectors and the Cayley-Bacharach property . Comm. Algebra , 30 ( 8 ) : 3891 – 3915 .