. G=matrix{{g_, G_(0,3)}} References Equations of parametric surfaces with base points via syzygies, G_(0,2), pp.73-101, 2005.

W. Bruns and J. Herzog, Cohen-Macaulay rings, volume 39 of Cambridge Studies in Advanced Mathematics. First edition, 1993.

L. Busé and M. Chardin, Implicitizing rational hypersurfaces using approximation complexes, Journal of Symbolic Computation, vol.40, issue.4-5, pp.1150-1168, 2005.
DOI : 10.1016/j.jsc.2004.04.005

L. Busé, D. Cox, and C. , IN THE PRESENCE OF BASE POINTS, Journal of Algebra and Its Applications, vol.02, issue.02, pp.189-214, 2003.
DOI : 10.1142/S0219498803000489

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

D. Cox, Curves, surfaces, and syzygies, Contemp. Math, vol.334, pp.131-150
DOI : 10.1090/conm/334/05979

D. A. Cox, Equations of parametric curves and surfaces via syzygies, Contemp. Math, vol.286, pp.1-20, 2000.
DOI : 10.1090/conm/286/04751

D. Eisenbud, Commutative algebra, volume 150 of Graduate Texts in Mathematics, 1995.

W. Fulton, Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas, 1984.

D. R. Grayson and M. E. Stillman, Macaulay 2, a software system for research in algebraic geometry

J. Herzog, A. Simis, and W. V. Vasconcelos, Koszul homology and blowingup rings, Commutative algebra, pp.79-169, 1981.

A. Khetan and C. , Implicitization of rational surfaces using toric varieties, Journal of Algebra, vol.303, issue.2, pp.543-565, 2006.
DOI : 10.1016/j.jalgebra.2005.05.028

T. Sederberg and F. Chen, Implicitization using moving curves and surfaces, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.301-308, 1995.
DOI : 10.1145/218380.218460

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