, K(s) = K(u, v) (proper parametrization)

S. S. Abhyankar, Lectures on Expansion Techniques In Algebraic Geometry, 1977.

S. S. Abhyankar and T. T. Moh, Embeddings of the line in the plane, J. Reine Angev. Math, vol.276, pp.148-166, 1975.

W. Barth, C. Peters, and A. Van-de-ven, Compact Complex Surfaces, Ergebnisse der Math, vol.4, issue.3, 1984.

J. W. Cassels, Local Fields, Lond. Math. Soc. Stud. Texts, vol.3, 1986.

J. Chadzy´nskichadzy´nski and T. Krasi´nskikrasi´nski, Properness and the Jacobian conjecture in C 2, Bull. Soc. Sci. Lett. Lód´Lód´z. XIV, pp.13-19, 1992.

D. Cox, J. Little, and H. Schenck, Toric Varieties, Graduate Studies in Mathematics, vol.124, 2011.

C. Andrea and M. Sombra, The Newton polygon of a rational plane curve, Math. in Comp. Sci, vol.4, pp.3-24, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00359281

W. Fulton, Introduction to toric varieties, 1993.

J. Gutierrez, R. Rubio, and J. Yu, D-resultant for rational functions, Proc. Amer. Math. Soc, vol.130, issue.8, pp.2237-2246, 2002.

J. Gwozdziewicz and A. Ploski, On the singularities at infinity of plane algebraic curves, Rocky mountain Journal of Math, vol.32, issue.1, pp.161-174, 1942.

A. G. Khovanskii, Newton polyhedra, and the genus of complete intersections, Funct. Anal. Appl, vol.12, pp.38-46, 1978.

M. Koras and K. Palka, The Coolidge-Nagata Conjecture, 2015.

H. Nagao, J. Inst. Polytech. Osaka City Univ. Ser. A, vol.10, issue.2, 1959.

M. Suzuki, Affine plane curves with one place at infinity, Ann. Inst. Fourier, vol.49, issue.2, pp.375-404, 1999.

B. Teissier, CyclesévanescentsCyclesévanescents, sections planes et conditions de Whitney, Asterisque SMF, vol.7, pp.285-362, 1973.

C. T. Wall, Singularities of plane curves, 2004.

P. G. Wightwick, Equivalence of polynomials under automorphisms of C 2, J. Pure Appl. Algebra, vol.157, pp.341-367, 2001.

. Lmno, Université de Caen-Normandie BP 5186, 14032 Caen Cedex, France Email address: denis.simon@unicaen.fr Email address: martin