Computing ideals of points

Journal of Symbolic Computation

Volumn 30, Issue 4, 2000, Pages 341-356

  Abbott, J ^a   Bigatti, A ^a   Kreuzer, M ^b   Robbiano, L ^a  

^a UNIVERSITY OF GENOA   (Italy)

^b UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001076993     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.2000.0411     Document Type: Article

References (15)

1. B. Buchberger, 1965.
2. Buchberger B. An algorithmical criterion for the solvability of algebraic systems of equations. Aequationes Math. 4:1970;374-383.
3. Buchberger B. Bose N. K. Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory. 1985;184-232 D. Reidel Publishing Co.
4. B. Buchberger, H. M. Möller, Proceedings of the European Computer Algebra Conference (EUROCAM'82) (Marseille, France), Calmet, J. 1982, Springer, 24, 31.
5. Capani A., Niesi G., Robbiano L. CoCoA, A System for Doing Computations in Commutative Algebra. 1998.
6. Cioffi F. Minimally generating ideals of points in polynomial time using linear algebra. Ric. Mat., XLVII fasc. 2. 1998.
7. Collins G. E., Encarnación M. J. Efficient rational number reconstruction. J. Symb. Comput. 20:1995;287-298.
8. Geramita A. V., Kreuzer M., Robbiano L. Cayley-Bacharach schemes and their canonical modules. Trans. Am. Math. Soc. 339:1993;163-189.
9. Lakshman Y. A single exponential bound on the complexity of computing Gröbner bases of zero dimensional ideals. Mora T., Traverso C. MEGA-90 (Castiglioncello/Italy). 1991;227-234 Birkhäuser, Boston.
10. Marinari M., Moeller H., Mora T. Gröbner bases of ideals defined by functionals with an application to ideals of projective points. Appl. Alg. Eng., Commun. Comput. 4:1993;103-145.
11. Mora T., Robbiano L. Points in affine and projective spaces. Eisenbud D., Robbiano L. Computational Algebraic Geometry and Commutative Algebra, Cortona-91. 1993;106-150 Cambridge University Press.
12. Möller M. Gröbner bases and numerical analysis. Buchberger B., Winkler F. Gröbner Bases and Applications (Proceedings of the Conference on 33 Years of Gröbner Bases). 1998;159-178 Cambridge University Press.
13. Robbiano L. Gröbner bases and statistic. Buchberger B., Winkler F. Gröbner Bases and Applications (Proceedings of the Conference on 33 Years of Gröbner Bases). 1998;179-204 Cambridge University Press.
14. Sakata S. Gröbner bases and coding theory. Buchberger B., Winkler F. Gröbner Bases and Applications (Proceedings of the Conference 33 Years of Gröbner Bases). 1998;205-220 Cambridge University Press.
15. Wang P. S., Guy M. J. T., Davenport J. H. p-adic reconstruction of rational numbers. SIGSAM Bull. (ACM Special Interest Group on Symbolic and Algebraic Manipulation). 16:1982;2-3.