S. S. Abhyankar, Inversion and Invariance of Characteristic Pairs, American Journal of Mathematics, vol.89, issue.2, pp.363-372, 1967.
DOI : 10.2307/2373126

S. S. Abhyankar and T. Moh, Newton-Puiseux Expansion and Generalized Tschirnhausen Transformation, J. Reine Angew. Math, vol.260, issue.261, pp.47-83, 1973.

S. S. Abhyankar and T. Moh, Embeddings of the Line in the Plane. ibid, pp.148-166, 1975.

S. S. Abhyankar, Approximate Roots of Polynomials and Special Cases of the Epimorphism Theorem, 1975.

S. S. Abhyankar, Expansion Techniques in Algebraic Geometry, Tata Instit. Fund. Research, 1977.

S. S. Abhyankar, On the Semigroup of a Meromorphic Curve (Part I) International Symposium on Algebraic Geometry, pp.249-414, 1977.

S. S. Abhyankar, What is the Difference between a Parabola and a Hyperbola? The Mathematical Intelligencer, 1988.

S. S. Abhyankar, Irreducibility criterion for germs of analytic functions of two complex variables, Advances in Mathematics, vol.74, issue.2, pp.190-257, 1989.
DOI : 10.1016/0001-8708(89)90009-1

S. S. Abhyankar, Algebraic Geometry for Scientists and Engineers, Math. Surveys and Monographs APPROXIMATE ROOTS, vol.35, pp.46-47, 1990.
DOI : 10.1090/surv/035

A. Assi, Deux remarques sur les racines approchées d'Abhyankar-Moh, CRAS, vol.319, issue.11, pp.1191-1196, 1994.

A. Assi, Meromorphic plane curves, Mathematische Zeitschrift, vol.230, issue.1, pp.165-183, 1999.
DOI : 10.1007/PL00004682

A. 'campo, N. , M. Oka, and M. , Geometry of Plane Curves via Tschirnhausen Resolution Tower, Osaka J. Math, vol.33, pp.1003-1033, 1996.

N. Bourbaki, Eléments de mathématiques. Algèbre, Livre II, 4: Polynomes et fractions rationnelles, 1959.

E. Brieskorn, H. Knörrer, and H. , Plane Algebraic Curves, translation of the German Edition, 1981.

A. Campillo, Algebroid Curves in Positive Characteristic, LNM, vol.813, 1980.
DOI : 10.1007/BFb0090823

H. Chang and L. Wang, An Intersection Theoretical Proof of the Embedding Line Theorem, Journal of Algebra, vol.161, issue.2, pp.467-479, 1993.
DOI : 10.1006/jabr.1993.1230

J. L. Coolidge, A Treatise on Algebraic Plane Curves, 1931.

V. Cossart and G. Moreno-socías, Racines approch??es, suites g??n??ratrices, suffisance des jets, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.14, issue.3
DOI : 10.5802/afst.1096

URL : http://archive.numdam.org/article/AFST_2005_6_14_3_353_0.pdf

F. Enriques and O. Chisini, Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche. Zanichelli, pp.1915-1924

G. Barroso and E. , Invariants des singularités de courbes planes et courbure des fibres de Milnor, Thèse, pp.96-131, 1996.

R. Goldin and B. Teissier, Resolving Singularities of Plane Analytic Branches with One Toric Morphism. in Resolution of Singularities, A Research Textbook in Tribute to Oscar Zariski, Birkhaüser, Progress in Math, issue.181, pp.315-340, 2000.

G. Pérez and P. , Quasi-Ordinary Singularities via Toric Geometry, 2000.

J. Gwo´zdziewiczgwo´zdziewicz and A. Loski, On the Merle Formula for Polar Invariants, Bull. Soc. Sciences et lettres Lód´Lód´z, vol.7, pp.61-67, 1991.

J. Gwo´zdziewiczgwo´zdziewicz and A. Loski, On the Approximate Roots of Polynomials, Annales Polonici Mathematici, vol.3, pp.199-210, 1995.

G. H. Halphen, Etude sur les points singuliers. Appendix to Salmon, G. Tra??téTra??té de géométrie analytique, 1884.

I. Kaplanski, The Early Work of Saunders Mac Lane on Valuations and Fields, pp.519-524, 1979.
DOI : 10.1007/978-1-4615-7831-4_24

M. Lejeune-jalabert, Sur l'´ equivalence des singularités des courbes algébro¨algébro¨?des planes (coefficients de Newton). in IntroductionàIntroduction`Introductionà la théorie des singularités I. Singularités et monodromie, Travaux en cours, pp.49-125, 1988.

M. Lejeune-jalabert, ContributionsàContributions`Contributionsà l'´ etude des singularités du point de vue du polygone de Newton, 1973.

S. Maclane, A construction for absolute values in polynomial rings, Transactions of the American Mathematical Society, vol.40, issue.3, pp.363-395, 1936.
DOI : 10.1090/S0002-9947-1936-1501879-8

S. Maclane, A Construction for Prime Ideals as Absolute Values of an Algebraic Field. Duke Math, J, vol.2, pp.492-510, 1936.

M. Merle, Invariants polaires des courbes planes, Inventiones Mathematicae, vol.54, issue.8, pp.103-111, 1977.
DOI : 10.1007/BF01418370

T. Moh, On the concept of approximate roots for algebra, Journal of Algebra, vol.65, issue.2, pp.347-360, 1980.
DOI : 10.1016/0021-8693(80)90224-0

T. T. Moh, On two fundamental theorems for the concept of approximate roots, Journal of the Mathematical Society of Japan, vol.34, issue.4, pp.637-652, 1982.
DOI : 10.2969/jmsj/03440637

D. Mumford, Algebraic Geometry I, Complex Projective Varieties. Grundlehren der math, Wissenschaften, vol.221, 1976.

M. Noether, Les combinaisons caract??ristiques dans la transformation d???un point singulier, Rendiconti del Circolo Matematico di Palermo, vol.4, issue.2, pp.89-108, 1890.
DOI : 10.1007/BF03011643

H. Pinkham, Courbes planes ayant une seule placè a l'infini. Sem. sur les singularités des surfaces, Ecole Polytechnique, 1977.

P. Russell, Hamburger-Noether expansions and approximate roots of polynomials, Manuscripta Mathematica, vol.3, issue.1, pp.31-56, 1980.
DOI : 10.1007/BF01303268

H. J. Smith, On the Higher Singularities of Plane Curves, Proc. London Math. Soc. VI (1875), pp.153-182
DOI : 10.1112/plms/s1-6.1.153

M. Spivakovsky, Valuations in Function Fields of Surfaces, American Journal of Mathematics, vol.112, issue.1, pp.107-156, 1990.
DOI : 10.2307/2374856

M. Spivakovsky, Resolución de singularidades y raíces aproximadas de Tschirnhausen, Fasc. IV, pp.3-17, 1997.

B. Teissier, Introduction to Curve Singularities, World Scientific, pp.866-893, 1995.

R. J. Walker, Algebraic Curves, APPROXIMATE ROOTS, vol.48, issue.1, 1950.

O. Zariski, Algebraic Surfaces, 1935.

O. Zariski, The Connectedness Theorem for Birational Transformations. in A Symposium in Honor of S.Lefschetz. Princeton, 1955.

O. Zariski, General Theory of Saturation and of Saturated Local Rings II: Saturated Local Rings of Dimension 1, American Journal of Mathematics, vol.93, issue.4, pp.872-964, 1971.
DOI : 10.2307/2373741

O. Zariski, Leprobì eme des modules pour les branches planes, 1973.

S. S. Abhyankar, On the Ramification of Algebraic Functions, American Journal of Mathematics, vol.77, issue.3, pp.575-592, 1955.
DOI : 10.2307/2372643

S. S. Abhyankar, Concepts of order and rank on a complex space, and a condition for normality, Mathematische Annalen, vol.52, issue.2, pp.171-192, 1960.
DOI : 10.1007/BF01360171

S. S. Abhyankar, Inversion and Invariance of Characteristic Pairs, American Journal of Mathematics, vol.89, issue.2, pp.363-372, 1967.
DOI : 10.2307/2373126

S. S. Abhyankar, Expansion Techniques in Algebraic Geometry, Tata Instit. Fund. Research, 1977.

S. S. Abhyankar, Irreducibility Criterion for Germs of Analytic Functions of Two Complex Variables Advances in Maths, pp.190-257, 1989.

S. S. Abhyankar and T. Moh, Newton-Puiseux Expansion and Generalized Tschirnhausen Transformation, J. Reine Angew. Math, vol.260, issue.261, pp.47-83, 1973.

A. F. Costa, On the Link of Quasi-ordinary Singularities. dans Géométrie algébrique et applications II Singularités et géométrie complexe. 2-` eme Conférence Internationale de La Rabida, pp.75-79, 1987.

G. Ewald, Combinatorial Convexity and Algebraic Geometry, 1996.
DOI : 10.1007/978-1-4612-4044-0

W. Fulton, Introduction to Toric Varieties, 1993.

Y. Gau, Topology of the quasi-ordinary surface singularities, Topology, vol.25, issue.4, pp.495-519, 1986.
DOI : 10.1016/0040-9383(86)90028-5

Y. Gau, Embedded Topological Classification of Quasi-ordinary Singularities . Memoirs Amer, Math.Soc, vol.388, 1988.

R. Goldin, B. Teissier, H. Hauser, and J. Lipman, Resolving Singularities of Plane Analytic Branches with one Toric Morphism. Dans Resolution of Singularities, A Research Textbook in Tribute to Oscar Zariski, Progress in Maths, pp.315-340, 2000.

G. Pérez and P. , Quasi-ordinary Singularities via Toric Geometry, Thèse, 2000.

R. C. Gunning, Introduction to Holomorphic Functions of Several VariablesII :Local Theory, 16] Hirzebruch, F. ¨ Uber vierdimensionale Riemannsche Flächen mehrdeutiger analytischer Funktionen von zwei komplexen Veränderlichen. Math.Annalen, pp.126-127, 1953.

H. W. Jung, Darstellung der Funktionen eines algebraischen Körpers zweier unabhängigen Veränderlichen x,y in der Umgebung einer Stelle x=a, y=b, J.Reine Angew.Math, vol.133, pp.289-314, 1908.

L. Kaup and B. Kaup, Holomorphic Functions of Several Variables. W.de gruyter, 1983.

H. B. Laufer, Normal two-dimensional Singularities, 1971.

J. Lipman, Quasi-ordinary Singularities of Embedded Surfaces. Thesis, 1965.

J. Lipman, Introduction to resolution of singularities, Proceedings of Symposia in Pure Mathematics, pp.187-230, 1975.
DOI : 10.1090/pspum/029/0389901