Resultant over the residual of a complete intersection

Journal of Pure and Applied Algebra - Tập 164 - Trang 35-57 - 2001
L. Busé1, M. Elkadi1, B. Mourrain2
1UNSA, UMR 6621, Parc Valrose, BP 71, 06108 Nice Cedex 02, France
2SAGA, INRIA, BP 93, 06902 Sophia Antipolis, France

Tài liệu tham khảo

Bayer, 1987, A criterion for detecting m-regularity, Invent. Math., 1987, 1, 10.1007/BF01389151 Bruns, 1990, The resolution of the generic residual intersection of a complete intersection, J. Algebra, 128, 214, 10.1016/0021-8693(90)90050-X Busé, 2000, Generalized resultant over unirational algebraic varieties, J. Symbolic Comput., 29, 515, 10.1006/jsco.1999.0304 Canny, 1993, An efficient algorithm for the sparse mixed resultant, Vol. 673, 89 M. Chardin, D. Eisenbud, B. Ulrich, Computing the Hilbert–Poincaré series of residual intersections, preprint, 2000. M. Chardin, B. Ulrich, Liaison and Castelnuovo–Mumford regularity, preprint, 2000. Cox, 1992 Cox, 1995, The homogeneous coordinate ring of a toric variety, J. Algebraic Geom., 4, 17 Eisenbud, 1994, Vol. 150 Emiris, 1999, Matrices in elimination theory, J. Symbolic Comput., 28, 3, 10.1006/jsco.1998.0266 Faugeras, 1993 Fulton, 1984 I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Discriminants, Resultants and Multidimensional Determinants, Birkhäuser, Boston, 1994. Griffiths, 1978 Hartshorne, 1977 Hunecke, 1998, Residual intersections, J. Reine Angew. Math., 390, 1 Jouanolou, 1991, Le formalisme du résultant, Adv. in Math., 90, 117, 10.1016/0001-8708(91)90031-2 Jouanolou, 1997, Formes d'inertie et résultant: un formulaire, Adv. in Math., 126, 119, 10.1006/aima.1996.1609 Macaulay, 1902, Some formulae in elimination, Proc. London Math. Soc., 1, 3, 10.1112/plms/s1-35.1.3 Mourrain, 1996, Enumeration problems in geometry, robotics and vision, Vol. 143, 285 Raghavan, 1995, Solving polynomial systems for the kinematic analysis of mechanisms and robot manipulators, ASME J. Mech. Des., 117, 71, 10.1115/1.2836473 Shafarevitch, 1974 B. Sturmfels, Sparse elimination theory, in: D. Eisenbud, L. Robbiano (Eds.), Proceedings of the Computat. Algebraic Geom. and Commut. Algebra 1991, Cortona, Italy, 1993, Cambridge University Press, Cambridge, pp. 264–298.