Syzygies of codimension 2 lattice ideals

Mathematische Zeitschrift

Volumn 229, Issue 1, 1998, Pages 163-194

  Peeva, Irena ^a   Sturmfels, Bernd ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032221759     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004645     Document Type: Article

References (33)

1. Anick, D.: A counterexample to a conjecture of Serre, Ann. Math. 115, 1-33 (1982)
2. Avramov, L., Gasharov, V., Peeva, I.: Complete intersection dimension, preprint.
3. Aramova, A., Herzog, J.: Koszul cycles and Eliahou-Kervaire type resolutions, J. Algebra, to appear.
4. Backelin, J.: Relations between rates of growth of homologies, Reports, Univ. of Stockholm 25 (1988).
5. k, Lin. Algebra Appl. 59, 121-129 (1984)
6. k, Nagoya Math. J. 136,81-114 (1994)
7. Buchsbaum, D., Eisenbud, D.: What makes a complex exact? J. Algebra 25,259-268 (1973)
8. Bruns, W., Herzog, J.,: Semigroup rings and simplicial complexes, J. Pure Appl. Algebra, to appear
9. 3, J. Reine Angew. Math. 365, 33-66 (1986)
10. Bayer, D., Mumford, D.: What can be computed in algebraic geometry? in Computational Algebraic Geometry and Commutative Algebra, D. Eisenbud and L. Robbiano (eds.), Cambridge Univ. Press, Cambridge, 1993, 1-48.
11. 1), Math. Nachr. 96, 257-269(1980)
12. Bayer, D., Stillman, M.: On the complexity of computing syzygies, J. Symbolic Comput. 6, 135-147 (1988)
13. Campillo, A., Marijuan, C.: Higher order relations for a numerical semigroup, Sèmi-naire de Théorie des Nombres 3, 249-260 (1991)
14. Eisenbud, D.: Commutative Algebra with a View Towards Algebraic Geometry, Springer Verlag, New York, 1995.
15. Eisenbud, D., Goto, S.: Linear free resolutions and minimal multiplicity, J. Algebra 88,89-133 (1984)
16. Eisenbud, D., Reeves, A., Totaro, B.: Initial ideals,Veronese subrings, and rates of algebras, Adv. Math. 109,168-187 (1994)
17. Eisenbud, D., Sturmfels, B.: Binomial ideals, Duke Math. J., to appear.
18. Fischer, K., Shapiro, J.: Mixed matrices and binomial ideals, J. Pure Appl. Algebra, to appear.
19. Gulliksen, G.: A change of ring theorem with applications to Poincaré series and intersection multiplicity, Math. Scand. 34,107-183 (1974)
20. Gulliksen, G., Levin, G.: Homology of local rings, Queen's papers in Pure and Appl. Math. 20 (1969).
21. Gruson, L., Lazarsfeld, R., Peskine, C.: On a theorem of Castelnuovo, and the equations defining space curves, Invent. Math. 72, 491-506 (1983)
22. Hoa, H., Miyazaki, C.: Bounds on Castelnuovo-Mumford regularity for generalized Cohen-Macaulay graded rings, Math. Ann. 301, 587-598 (1995)
23. Lazarsfeld R.: A sharp Castelnuovo bound for smooth surfaces. Duke Math. J. 55,423-429 (1987)
24. Lescot, J.: Series de Poincaré et modules inertes, J. Algebra 132, 22-49 (1990)
25. Morales, M.: Equations des variétés monomiales en codimension deux, J Algebra 175, 1082-1095 (1995)
26. Ran, Z.: Local differential geometry and generic projections of threefolds, J. Differential Geom. 32, 131-137 (1990)
27. Reisner, G.: Cohen-Macaulay quotients of polynomial rings, Adv. Math. 21, 30-49 (1976)
28. Scarf, H.: Production sets with indivisibilities. Part 2. The case of two activities, Econometrica 49, 3954-23 (1981)
29. Stanley, R.: Combinatorics and Commutative Algebra, Birkhäuser, Boston, 1983.
30. Sturmfels, B.: Gröbner Bases and Convex Polytopes, AMS University Lecture Series, Vol. 8, Providence RI, 1995.
31. n, Math. Ann. 276, 341-352 (1987)
32. Sturmfels, B., Weismantel, R., Ziegler, G.: Gröbner bases of lattices, corner polyhedra, and integer programming, Beitr. Algebra Geom. 36,281-298 (1995)
33. Tate, J.: Homology of noetherian rings and local rings, Ill. J. Math. 1, 14-25 (1957)