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

URL : https://link.springer.com/content/pdf/bfm%3A978-3-540-38178-5%2F1.pdf

G. Ewald, Combinatorial convexity and algebraic geometry, Graduate Texts in Mathematics, vol.168, 1996.
DOI : 10.1007/978-1-4612-4044-0

G. Ewald and M. Ishida, Completion of real fans and Zariski-Riemann spaces, Tohôku Math, J, issue.2, pp.58-189, 2006.
DOI : 10.2748/tmj/1156256400

URL : http://doi.org/10.2748/tmj/1156256400

D. Eisenbud, B. Sturmfels, and D. Math, J, vol.84, pp.1-45, 1996.

P. , G. Pérez, and B. Teissier, Toric Geometry and the Semple-Nash modification, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales, pp.1-46, 2014.

J. G. Hocking and G. S. Young, , 1988.

K. Kedlaya, On the algebraicity of generalized power series, Beitr??ge zur Algebra und Geometrie / Contributions to Algebra and Geometry, vol.41, issue.3, pp.499-527, 2017.
DOI : 10.1090/S0002-9939-1952-0047631-9

O. Kuroda, The infiniteness of the SAGBI bases for certain invariant rings, Osaka J. Math, vol.39, pp.665-680, 2002.

G. Kempf, F. Knudsen, D. Mumford, and B. , , 1973.

L. Robbiano, On the theory of graded structures, Journal of Symbolic Computation, vol.2, issue.2, pp.139-170, 1986.
DOI : 10.1016/S0747-7171(86)80019-0

A. Sikora, Topology on the spaces of orderings of groups, Bull, pp.519-526, 2004.

W. M. Schmidt-masser, D. Nesterenko, Y. V. Schlickewei, H. P. Schmidt, W. M. Waldschmidt et al., Diophantine approximation, Lectures from the C.I.M.E. Summer School held in Cetraro, Fondazione CIME/CIME Foundation Subseries, Springer Lecture Notes in Mathematics No. 1819, p.133, 2000.

B. Teissier, Valuations, deformations, and toric geometry, Valuation Theory and its applications, pp.361-459, 2003.
DOI : 10.1090/fic/033/20

B. Teissier, A viewpoint on local resolution of singularities, Oberwolfach Workshop on Singularities Oberwolfach Reports, vol.6, issue.3, 2009.

B. Teissier, Overweight deformations of affine toric varieties and local uniformization, Proceedings of the second international conference on valuation theory, 2011.
DOI : 10.4171/149-1/23

URL : https://hal.archives-ouvertes.fr/hal-00933721

. Teissier, Congress Reports Series, pp.474-565, 2014.