An Improved Multiplicity Conjecture for Codimension 3 Gorenstein Algebras

REFERENCES

• Buchsbaum , D. , Eisenbud , D. ( 1977 ). Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3 . Amer. J. Math. 99 : 447 – 485 .
   Web of Science ®Google Scholar
• Diesel , S. ( 1996 ). Irreducibility and dimension theorems for families of height 3 Gorenstein algebras . Pacific J. Math. 172 ( 2 ): 365 – 397 .
   Web of Science ®Google Scholar
• Francisco , C. ( 2006 ). New approaches to bounding the multiplicity of an ideal . J. Algebra 299 ( 1 ): 309 – 328 .
   Web of Science ®Google Scholar
• Francisco , C. , Srinivasan , H. ( 2007 ). Multiplicity Conjectures. Syzygies and Hilbert Functions . Lect. Notes Pure Appl. Math. 254 , Boca Raton , FL : Chapman & Hall/CRC , pp. 145 – 178 .
   Google Scholar
• Fröberg , R. , Laksov , D. ( 1984 ). Compressed Algebras . Conference on complete intersections in Acireale. Lecture Notes in Mathematics . Vol. 1092 . Springer-Verlag , pp. 121 – 151 .
   Google Scholar
• Herzog , J. , Srinivasan , H. ( 1998 ). Bounds for multiplicities . Trans. Amer. Math. Soc. 350 ( 7 ): 2879 – 2902 .
   Web of Science ®Google Scholar
• Herzog , J. , Zheng , ( 2006 ). Notes on the multiplicity conjecture . Collectanea Math. 57 ( 2 ): 211–226.
   Web of Science ®Google Scholar
• Huneke , C. , Miller , M. ( 1985 ). A note on the multiplicity of Cohen-Macaulay algebras with pure resolutions . Can. J. Math. 37 : 1149 – 1162 .
   Google Scholar
• Migliore , J. , Nagel , U. , Römer , T. ( 2005 ). The multiplicity conjecture in low codimensions . Math. Res. Lett. 12 : 731 – 748 .
   Web of Science ®Google Scholar
• Migliore , J. , Nagel , U. , Römer , T. Extensions of the multiplicity conjecture . To appear in Trans. Amer. Math. Soc. Available at http://front.math.ucdavis.edu/math.AC/0505229 .
   Google Scholar
• Miró-Roig , R. ( 2006 ). A note on the multiplicity of determinantal ideals . J. Algebra 299 : 714 – 724 .
   Web of Science ®Google Scholar
• Zanello , F. ( 2007 ). Improving the bounds of the multiplicity conjecture: the codimension 3 level case . J. Pure Appl. Algebra 209 ( 1 ): 79 – 89 .
   Web of Science ®Google Scholar