The multiplicity conjecture in low codimensions

Mathematical Research Letters

Volumn 12, Issue 5-6, 2005, Pages 731-747

  Migliore, Juan ^a   Nagel, Uwe ^b   Römer, Tim ^c  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b UNIVERSITY OF KENTUCKY   (United States)

^c UNIVERSITY OF OSNABRÜCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31544478834     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.2005.v12.n5.a10     Document Type: Article

References (20)

1. W. Bruns and J. Herzog, Cohen-Macaulay rings. Rev. ed. Cambridge Studies in Advanced Mathematics 39, Cambridge University Press, Cambridge, 1998.
2. D. Buchsbaum and D. Eisenbud, Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3. Amer. J. Math. 99 (1977) 447-485.
3. S. Diesel, Irreducibility and dimension theorems for families of height 3 Gorenstein algebras. Pacific J. Math. 172 (1996), no. 2, 365-397.
4. V. Gasharov, T. Hibi and I. Peeva, Resolutions of a-stable ideals. J. Algebra 254 (2002), no. 2, 375-394.
5. 3. Comm. Algebra 17 (1989), no. 12, 3129-3164.
6. _, Reduced Gorenstein codimension three subschemes of protective space. Proc. Amer. Math. Soc. 125 (1997), no.4, 943-950.
7. L.H. Gold, A degree bound for codimension two lattice ideals. J. Pure Appl. Algebra 183 (2003), no. 2-3, 201-207.
8. L.H. Gold, H. Schenck and H. Srinivasan, Betti numbers and degree bounds for some linked zero-schemes. Preprint, 2004.
9. D.R. Grayson and M.E. Stillman, Macaulay 2, a software system for research in algebraic geometry. Available at http://www.math.uiuc.edu/Macaulay2/ .
10. E. Guardo and A. Van Tuyl, Powers of complete intersections: graded betti numbers and applications. Preprint math. AC/0409090.
11. J. Herzog and H. Srinivasan, Bounds for multiplicities. Trans. Amer. Math. Soc. 350 (1998), no. 7, 2879-2902.
12. J. Herzog, N. V. Trung and G. Valla, On hyperplane sections of reduced irreducible varieties of low codimension. J. Math. Kyoto Univ. 34 (1994), no. 1, 47-72.
13. C. Huneke and M. Miller, A note on the multiplicity of Cohen-Macaulay algebras with pure resolutions. Can. J. Math. 37 (1985), 1149-1162.
14. J. Kleppe, J. Migliore, R.M. Miró-Roig, U. Nagel and C. Peterson, Gorenstein liaison, complete intersection liaison invariants and unobstructedness. Mem. Amer. Math. Soc. 732 (2001).
15. J. Migliore, Introduction to liaison theory and deficiency modules. Progress in Mathematics 165, Boston, Birkhäuser, 1998.
16. J. Migliore, C. Peterson and Y. Pitteloud, Ropes in Protective Space. J. Math. Kyoto Univ. 36 (1996), no. 2, 251-278.
17. U. Nagel, Even liaison classes generated by Gorenstein linkage. J. Algebra 209 (1998), no.2, 543-584.
18. T. Römer, Note on bounds for multiplicities. J. Pure Appl. Algebra 195 (2005), no. 1, 113-123.
19. T. Sauer, Smoothing protectively Cohen-Macaulay space curves. Math. Ann. 272 (1985), 83-90.
20. H. Srinivasan, A note on the multiplicities of Gorenstein algebras. J. Algebra 208 (1998), no. 2, 425-443.