Sagbi bases with applications to blow-up algebras

Journal fur die Reine und Angewandte Mathematik

Volumn , Issue 474, 1996, Pages 113-138

  Conca, Aldo ^a   Herzog, Jurgen ^a   Valla, Giuseppe ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21344439930     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. J. Backelin, On the rates of growth of the homologies of Veronese subrings, In: Proceedings: Algebra, Algebraic Topology and Their Interactions, Ed. J.-E. Roos, Lect. Notes Math. 1183 (1986), 79-100.
2. W. Bruns, J. Herzog, Cohen-Macaulay rings, Adv. Stud. Math., Cambridge Univ. Press, 1993.
3. W. Bruns, J. Herzog, U. Vetter, Syzygies and Walks, in: ICTP Proceedings 'Commutative Algebra', Eds. A. Simis, N. V. Trung, G. T Valla, World Scientific (1994), 36-57.
4. W. Bruns and U. Vetter, Determinantal rings, Lect. Notes Math. 1327, Springer, 1988.
5. J.-F. Boutat, Singularités rationelles et quotients par les groupes réductifs, Invent, math. 88 (1987), 65-68.
6. R. Elkik, Singularités rationnelles et déformations, Invent, math. 47 (1978), 139-1478.
7. R. Fedder, I. V. Watanabe, A characterization of F-regularity in terms of F-purity, In: Proceedings 'Commutative Algebra', Eds.: M. Hochster, C. Huneke, J. D. Sally, MSRI Publications 15, Springer (1989), 227-245.
8. P. Gimenez, Étude de la fibre spéciale de l'éclatement d'une variété monomiale en codimension deux, Thèse de doctorat de Mathématiques de l'Université J. Fourier, Grenoble 1993.
9. W. Gröbner, Moderne Algebraische Geometrie, Springer, 1949.
10. J. Harris, Algebraic Geometry: a first course, Grad. Texts Math. 133, Springer, 1992.
11. A. I. Hochster, Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann: Math. 96(2) (1972), 318-337.
12. M. Hochster, C. Huneke, Tight closure and strong F-regularity, Mem. Soc. Math. France 38 (1989), 119-133.
13. M. Hochster, C. Huneke, Tight closures of parameter ideals and splitting in module finite extensions, J. Alg. Geom., to appear.
14. M. Hochster, C. Huneke, F-regularity, test elements, and smooth base change, Trans. A. M. S. 364 (1994), 1-62.
15. D. Kapur, K. Madiener, A completion procedure for computing a canonical basis for a k-subalgebra, in: Computer and Mathematics (Cambridge MA 1989), Springer (1989), 1-11.
16. L. Robbiano, M. Sweedler, Subalgebra bases, Proceedings, Salvador 1988, Eds. W. Bruns, A. Simis, Lect. Notes Math. 1430 (1990), 61-87.
17. R. Stanley, Combinatorics and Commutative Algebra, Birkhäuser, 1983.
18. B. Sturmfels, Toric ideals, Preliminary Lecture Notes, Workshop on Commutative Algebra and its relation to Combinatorics and Computer Algebra, ICTP Trieste 1994.