S. Shreeram and . Abhyankar, Algebraic geometry for scientists and engineers, Mathematical Surveys and Monographs, vol.35, 1990.

F. José, A. Andrade, W. V. Simis, and . Vasconcelos, On the grade of some ideals, Manuscripta Math, vol.34, issue.2-3, pp.241-254, 1981.

L. Busé and C. Andrea, Inversion of parameterized hypersurfaces by means of subresultants, Proceedings of the 2004 international symposium on Symbolic and algebraic computation , ISSAC '04, pp.65-71, 2004.
DOI : 10.1145/1005285.1005297

L. Busé and J. Jouanolou, On the closed image of a rational map and the implicitization problem, Journal of Algebra, vol.265, issue.1, pp.312-357, 2003.
DOI : 10.1016/S0021-8693(03)00181-9

L. Busé and B. Mourrain, Explicit factors of some iterated resultants and discriminants, Singularities of plane curves, pp.345-386, 2000.
DOI : 10.1090/S0025-5718-08-02111-X

D. A. Cox, J. W. Hoffman, and H. Wang, Syzygies and the Rees algebra, Journal of Pure and Applied Algebra, vol.212, issue.7, pp.1787-1796, 2008.
DOI : 10.1016/j.jpaa.2007.11.006

A. David, W. Cox-thomas, and . Sederberg, The moving curve ideal and the Rees algebra On the minors of the implicitization Bézout matrix for a rational plane curve, Theoret. Comput. Sci. Comput. Aided Geom. Design, vol.392, issue.181, pp.23-3621, 2001.

[. Kahoui, D-resultant and subresultants, Proceedings of the American Mathematical Society, vol.133, issue.08, pp.2193-2199, 2005.
DOI : 10.1090/S0002-9939-05-07850-0

J. Gutierrez, R. Rubio, and J. Yu, D-resultant for rational functions, Proc. Amer, pp.2237-2246, 2002.

H. Hong, Subresultants Under Composition, Journal of Symbolic Computation, vol.23, issue.4, pp.355-365, 1997.
DOI : 10.1006/jsco.1996.0093

URL : http://doi.org/10.1006/jsco.1996.0093

J. Hong, A. Simis, and W. V. Vasconcelos, On the homology of two-dimensional elimination, Journal of Symbolic Computation, vol.43, issue.4, pp.275-292, 2008.
DOI : 10.1016/j.jsc.2007.10.010

J. Jouanolou, Résultant anisotrope, compléments et applications The Foata Festschrift, ):Research Paper 2, approx. 91 pp. (electronic), 1996.

J. Jouanolou, Formes d'inertie et r??sultant: un formulaire, Advances in Mathematics, vol.126, issue.2, pp.119-250, 1997.
DOI : 10.1006/aima.1996.1609

URL : http://doi.org/10.1006/aima.1996.1609

J. Jouanolou, An explicit duality for quasi-homogeneous ideals, Journal of Symbolic Computation, vol.44, issue.7, 2007.
DOI : 10.1016/j.jsc.2008.04.011

N. Song, F. Chen, and R. Goldman, Axial moving lines and singularities of rational planar curves, Computer Aided Geometric Design, vol.24, issue.4, pp.200-209, 2007.
DOI : 10.1016/j.cagd.2007.02.002

V. Wolmer and . Vasconcelos, Arithmetic of blowup algebras Lecture Note Series, 1994.

J. Arno-van-den-essen and . Yu, The D-resultant, singularities and the degree of unfaithfulness, Proc. Amer, pp.689-695, 1997.