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Volumn 28, Issue 1-2, 1999, Pages 265-273

On the complexity of Gröbner bases conversion

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Indexed keywords


EID: 0348050435     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1998.0276     Document Type: Article
Times cited : (8)

References (18)
  • 2
    • 0003433455 scopus 로고
    • Ph. D. Thesis, Harvard University, Department of Mathematics, Cambridge, MA, U.S.A.
    • Bayer, D. (1982). The division algorithm and the Hilbert scheme. Ph. D. Thesis, Harvard University, Department of Mathematics, Cambridge, MA, U.S.A.
    • (1982) The Division Algorithm and the Hilbert Scheme
    • Bayer, D.1
  • 4
    • 34250482708 scopus 로고
    • Ein algorithmisches kriterium für die lösbarkeit eines algebraischen gleichungssystems
    • Buchberger, B. (1970). ein algorithmisches kriterium für die lösbarkeit eines algebraischen gleichungssystems. Aeq. Math., 4, 374-383.
    • (1970) Aeq. Math. , vol.4 , pp. 374-383
    • Buchberger, B.1
  • 5
    • 0031232403 scopus 로고    scopus 로고
    • Converting bases with the Gröbner walk
    • Collart, S., Kalkbrener, M., Mall, D. (1997). Converting bases with the Gröbner walk. J. Symb. Comput., 24, 465-470.
    • (1997) J. Symb. Comput. , vol.24 , pp. 465-470
    • Collart, S.1    Kalkbrener, M.2    Mall, D.3
  • 6
    • 0031232402 scopus 로고    scopus 로고
    • Toric degenerations of polynomial ideals and geometric localisation of fans
    • Collart, S., Mall, D. (1997). Toric degenerations of polynomial ideals and geometric localisation of fans. J. Symb. Comput., 24, 443-464.
    • (1997) J. Symb. Comput. , vol.24 , pp. 443-464
    • Collart, S.1    Mall, D.2
  • 8
    • 25944479355 scopus 로고
    • Efficient computation of zero-dimensional Gröbner bases by change of ordering
    • Faugère, J. C., Gianni, P., Lazard, D., Mora, T. (1993). Efficient computation of zero-dimensional Gröbner bases by change of ordering. J. Symb. Comput., 16, 329-344.
    • (1993) J. Symb. Comput. , vol.16 , pp. 329-344
    • Faugère, J.C.1    Gianni, P.2    Lazard, D.3    Mora, T.4
  • 9
    • 0000476418 scopus 로고
    • Combinatorial dimension theory of algebraic varieties
    • Giusti, M. (1988). Combinatorial dimension theory of algebraic varieties. J. Symb. Comput., 6, 249-265.
    • (1988) J. Symb. Comput. , vol.6 , pp. 249-265
    • Giusti, M.1
  • 11
    • 0022476533 scopus 로고
    • A superexponential lower bound for Gröbner bases and Church-Rosser commutative Thue systems
    • Huynh, D. T. (1986). A superexponential lower bound for Gröbner bases and Church-Rosser commutative Thue systems. Inf. Control, 68, 196-206.
    • (1986) Inf. Control , vol.68 , pp. 196-206
    • Huynh, D.T.1
  • 12
    • 0011035415 scopus 로고    scopus 로고
    • Implicitization by Gröbner basis conversion
    • Kalkbrener, M. (1996). Implicitization by Gröbner basis conversion. Euromath. Bull., 2, 197-204.
    • (1996) Euromath. Bull. , vol.2 , pp. 197-204
    • Kalkbrener, M.1
  • 13
    • 0002222628 scopus 로고
    • Implicitization of hypersurfaces and curves by the Primbasissatz and basis conversion
    • Licciardi, S., Mora, T. (1994). Implicitization of hypersurfaces and curves by the Primbasissatz and basis conversion. In Proceedings ISSAC'94, Oxford, U.K., pp. 191-196.
    • (1994) Proceedings ISSAC'94, Oxford, U.K. , pp. 191-196
    • Licciardi, S.1    Mora, T.2
  • 14
    • 0001751788 scopus 로고
    • The complexity of the word problem for commutative semigroups and polynomial ideals
    • Mayr, E.W., Meyer, A.R. (1982). The complexity of the word problem for commutative semigroups and polynomial ideals. Adv. Math., 46, 305-329.
    • (1982) Adv. Math. , vol.46 , pp. 305-329
    • Mayr, E.W.1    Meyer, A.R.2
  • 15
    • 85027674077 scopus 로고
    • Upper and lower bounds for the degree of Gröbner bases
    • LNCS Berlin, Springer
    • Möller, H. M., Mora, T. (1984). Upper and lower bounds for the degree of Gröbner bases. In Proceedings EUROCAL'84, Cambridge, U.K., LNCS 174, pp. 172-183. Berlin, Springer.
    • (1984) Proceedings EUROCAL'84, Cambridge, U.K. , vol.174 , pp. 172-183
    • Möller, H.M.1    Mora, T.2
  • 16
    • 0000408683 scopus 로고
    • The Gröbner fan of an ideal
    • Mora, T., Robbiano, L. (1988). The Gröbner fan of an ideal. J. Symb. Comput., 6, 183-208.
    • (1988) J. Symb. Comput. , vol.6 , pp. 183-208
    • Mora, T.1    Robbiano, L.2
  • 18
    • 0030268743 scopus 로고    scopus 로고
    • Hilbert functions and Buchberger algorithm
    • Traverso, C. (1996). Hilbert functions and Buchberger algorithm. J. Symb. Comput., 22, 355-376.
    • (1996) J. Symb. Comput. , vol.22 , pp. 355-376
    • Traverso, C.1


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