S. Abhyankar, Irreducibility criterion for germs of analytic functions of two complex variables, Adv. Mathematics, vol.35, pp.190-257, 1989.

A. Campillo, Algebroid Curves in Positive Characteristic, LNCS, vol.378, 1980.

E. Casas-alvero, Plane curve singularities, LMS Lecture Notes, vol.276, 2000.

J. D. Dora, C. Dicrescenzo, and D. Duval, About a new method for computing in algebraic number fields, EUROCAL 85. Springer-Verlag LNCS 204, 1985.

D. Duval, Rational Puiseux expansions, Compositio Math, vol.70, issue.2, pp.119-154, 1989.

E. R. Garciá and . Barroso, Invariants des singularités de courbes planes et courbure des fibres de milnor, 1995.

J. V. Gathen and J. Gerhard, Modern Computer Algebra, 2013.

I. Gelfand, M. Kapranov, and A. Zelevinsky, Discriminants, resultants, and multidimensional determinants, 1994.

G. Greuel, C. Lossen, and E. Shustin, Introduction to singularities and deformation, Monographs in Mathematics, 2007.

M. Hodorog, B. Mourrain, and J. Schicho, A symbolic-numeric algorithm for computing the Alexander polynomial of a plane curve singularity, Proceedings of the 12th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, pp.21-28, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00542193

M. Hodorog, B. Mourrain, and J. Schicho, An adapted version of the Bentley-Ottmann algorithm for invariants of plane curve singularities, Proceedings of 11th International Conference on Computational Science and Its Applications, vol.6784, pp.121-131, 2011.

M. Hodorog and J. Schicho, A regularization method for computing approximate invariants of plane curves singularities, Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation, pp.44-53, 2011.

M. Merle, Invariants polaires des courbes planes, Inventiones Math, vol.41, pp.103-111, 1977.

T. Nguyen, ;. Hong-duc, P. Pham, and . Hoang, Topological invariants of plane curve singularities: Polar quotients and lojasiewicz gradient exponents, 2017.

P. Popescu-pampu, Approximate roots. Fields Institute Communiations, vol.33, pp.1-37, 2002.

A. Poteaux, Calcul de développements de Puiseux et application au calcul de groupe de monodromie d'une courbe algébrique plane, 2008.

A. Poteaux and M. Rybowicz, Complexity bounds for the rational newton-puiseux algorithm over finite fields. Applicable Algebra in Engineering, vol.22, pp.187-217, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00601438

A. Poteaux and M. Rybowicz, Improving complexity bounds for the computation of puiseux series over finite fields, Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '15, pp.299-306, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01253216

A. Poteaux and M. Weimann, Computing puiseux series : a fast divide and conquer algorithm, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01578214

A. Poteaux and M. Weimann, A quasi-linear irreducibility test in K, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02354929

A. Poteaux and M. Weimann, Using approximate roots for irreducibility and equisingularity issues in K
URL : https://hal.archives-ouvertes.fr/hal-02137331

A. Sommese and C. Wampler, Numerical Solution of Polynomial Systems Arising in Engineering and Science, 2005.

J. Teitelbaum, The computational complexity of the resolution of plane curve singularities, Math. Comp, vol.54, pp.797-837, 1990.

J. Van-der-hoeven and G. Lecerf, Accelerated tower arithmetic, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01788403

C. Wall, Singular Points of Plane Curves, 2004.

P. G. Walsh, A polynomial-time complexity bound for the computation of the singular part of an algebraic function, Math. of Comp, vol.69, pp.1167-1182, 2000.

O. Zariski, Studies in equisingularity i, American J. Math, vol.87, pp.507-535, 1965.

O. Zariski, Studies in equisingularity i: Equivalent singularities of plane algebroid curves, American J. Math, vol.87, pp.507-535, 1965.

O. Zariski, Studies in equisingularity ii: Equisingularity in codimension 1 (and characteristic zero), American J. Math, vol.87, pp.972-1006, 1965.

O. Zariski, Studies in equisingularity iii: Saturation of local rings and equisingularity, American J. Math, vol.90, pp.961-1023, 1968.

O. Zariski, Le problème des modules pour les branches planes, 1973.