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Volumn 39, Issue 1, 2005, Pages 31-49

Computing zero-dimensional schemes

Author keywords

Fat points; Gr bner basis algorithm; Zero dimensional schemes

Indexed keywords


EID: 11044222872     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsc.2004.09.001     Document Type: Article
Times cited : (15)

References (16)
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    • The construction of multivariate polynomials with preassigned zeros
    • J. Calmet Ed. Proceedings of the European Computer Algebra Conference, EUROCAM'82 Springer
    • B. Buchberger H.M. Möller The construction of multivariate polynomials with preassigned zeros In: J. Calmet Ed. Proceedings of the European Computer Algebra Conference, EUROCAM'82 Lecture Notes in Comp. Sci. vol. 144 1982 Springer pp. 24-31
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  • 6
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    • Available via anonymous ftp from ftp://cocoa.dima.unige.it, version 4
    • Capani, A., Niesi, G., Robbiano, L., 1998. CoCoA, A system for doing computations in commutative algebra, Available via anonymous ftp from ftp://cocoa.dima.unige.it, version 4
    • (1998)
    • Capani, A.1    Niesi, G.2    Robbiano, L.3
  • 7
    • 0003057914 scopus 로고    scopus 로고
    • Minimally generating ideals of points in polynomial time using linear algebra
    • fasc. 2
    • Cioffi, F., 1998. Minimally generating ideals of points in polynomial time using linear algebra. Ricerche di Matematica, XLVII fasc. 2
    • (1998) Ricerche Di Matematica , vol.47
    • Cioffi, F.1
  • 8
    • 0034771525 scopus 로고    scopus 로고
    • Computation of minimal generators of ideals of fat points
    • ACM Press
    • F. Cioffi F. Orecchia Computation of minimal generators of ideals of fat points Proceedings of ISSAC 2001 2001 ACM Press pp. 72-76
    • (2001) Proceedings of ISSAC 2001 , pp. 72-76
    • Cioffi, F.1    Orecchia, F.2
  • 9
    • 25944479355 scopus 로고
    • Efficient computation of zero-dimensional Gröbner bases by change of ordering
    • J.C. Faugère P. Gianni D. Lazard T. Mora Efficient computation of zero-dimensional Gröbner bases by change of ordering J. Symbolic Comput. 16 4 1989 329-344
    • (1989) J. Symbolic Comput. , vol.16 , Issue.4 , pp. 329-344
    • Faugère, J.C.1    Gianni, P.2    Lazard, D.3    Mora, T.4
  • 10
    • 0001499930 scopus 로고
    • On the canonical module of a 0-dimensional scheme
    • M. Kreuzer On the canonical module of a 0-dimensional scheme Canad. J. Math. 46 1994 357-379
    • (1994) Canad. J. Math. , vol.46 , pp. 357-379
    • Kreuzer, M.1
  • 13
    • 0000913514 scopus 로고
    • A single exponential bound on the complexity of computing Gröbner bases of zero dimensional ideals
    • T. Mora C. Traverso Eds. Proceedings of MEGA-90, Castiglioncello, Italy Birkhäuser Boston
    • Y. Lakshman A single exponential bound on the complexity of computing Gröbner bases of zero dimensional ideals In: T. Mora C. Traverso Eds. Proceedings of MEGA-90, Castiglioncello, Italy Progress in Math. vol. 94 1991 Birkhäuser Boston pp. 227-234
    • (1991) Progress in Math. , vol.94 , pp. 227-234
    • Lakshman, Y.1
  • 14
    • 0000806040 scopus 로고
    • Gröbner bases of ideals defined by functionals with an application to ideals of projective points
    • M. Marinari H. Moeller T. Mora Grodie;bner bases of ideals defined by functionals with an application to ideals of projective points Appl. Algebra Engrg., Comm. Comput. 4 2 1993 103-145
    • (1993) Appl. Algebra Engrg., Comm. Comput. , vol.4 , Issue.2 , pp. 103-145
    • Marinari, M.1    Moeller, H.2    Mora, T.3
  • 15
    • 84957631580 scopus 로고    scopus 로고
    • A new criterion for normal form algorithms
    • M. Fossier H. Imai S. Lin A. Poli Eds. Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes Springer
    • B. Mourrain A new criterion for normal form algorithms In: M. Fossier H. Imai S. Lin A. Poli Eds. Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes Lecture Notes in Comp. Sci. vol. 1719 1999 Springer pp. 439-443
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    • Zero-dimensional ideals or the inestimable value of estimable terms
    • (preprint)
    • Robbiano, L., 2001. Zero-dimensional ideals or the inestimable value of estimable terms (preprint)
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    • Robbiano, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.