REFERENCES
- Bigatti , A.M. 1993 . Upper Bounds for the Betti Numbers of a Given Hilbert Function . Comm. in Alg. , 21 ( 7 ) : 2317 – 2334 .
- Briançon , J. 1977 . Description de . Invent. Math. , 41 : 45 – 89 .
- Campanella , G. 1986 . Standard Bases of Perfect Homogeneous Polynomial Ideals of Height 2 . J. of Algebra , 101 : 47 – 60 .
- Charalambous , H. and Evans , E.G. 1994 . Resolutions with a Given Hilbert Function . Contemporary Math. , 159 : 19 – 26 .
- Charalambous , H. and Evans , E.G. 1995 . Resolutions Obtained by Iterated Mapping Cones . J. of Algebra. , 176 : 750 – 754 .
- Eisenbud , D. 1995 . Commutative Algebra with a View Toward Algebraic Geometry New York : Springer-Verlag .
- Eisenbud , D. , Green , M. and Harris , J. 1993 . Higher Castelnuovo Theory . Astérisque. , 218 : 187 – 202 .
- Evans , E.G. and Griffith , P. 1985 . Syzygies Cambridge : Cambridge University Press . London Mathematical Society Lecture Note Series, 106
- Hilbert , D. 1890 . Über die Theorie der algebraischen Formen, Math . Annalen, , 36 : 473 – 534 .
- Hulett , H.A. 1993 . Maximal Betti Numbers with a Given Hilbert Function . Comm. In Alg. , 21 ( 7 ) : 2335 – 2350 .
- Iarrobino , A. 1983 . Deforming Complete Intersection Artin Algebras. Appendix: Hilbert Functions of . Proc. Symp. Pure Math. , 40 : 593 – 608 .
- 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. of Math. , 40 : 564 – 585 .
- Richert, B. Monomial Ideals, N-Lists, and Smallest Graded Betti Numbers, Ph.D. Thesis, Univ. of Illinois, Urbana-Champaign.
- Rodriguez , M. Ideals that Attain a Given Hilbert function . Illinois J. Math , in press
- Sauer , T. 1985 . Smoothing Projectively Cohen–Macaulay Space Curves . Math. Ann. , 272 : 83 – 90 .
- Stanley , R. 1983 . Combinatorics and Commutative Algebra Boston : Burkhäuser .