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Semi-groupes d’entiers et application aux branches. (French) Zbl 0498.14016


MSC:

14H20 Singularities of curves, local rings
11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers
13H15 Multiplicity theory and related topics
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References:

[1] Zariski, O., Algebraic Surfaces (1971), Springer-Verlag: Springer-Verlag Berlin · Zbl 0219.14020
[2] Van-der-Waerden, Einführung in die algebraische Geometrie (1973), Springer-Verlag: Springer-Verlag Berlin · Zbl 0264.14001
[3] Zariski, O., Studies in equisingularity, III, Amer. J. Math., 90, 961-1023 (1968) · Zbl 0189.21405
[4] Abhyankar, S., Inversion and invariance of characteristic pairs, Amer. J. Math., 89, 363-372 (1967) · Zbl 0162.34103
[5] Matsuoka, T., On the degree of singularity of one-dimensional analytically irreducible Noetherian local rings, J. Math. Kyoto Univ., 11 (1971) · Zbl 0224.13017
[6] Kunz, E., The value-semigroup of a one-dimentional Gorenstein ring, (Proc. Amer. Math. Soc, 25 (1970)), 748-751 · Zbl 0197.31401
[7] J. Bertin et P. Carbonne; J. Bertin et P. Carbonne · Zbl 0268.14006
[8] Bertin, J.; Carbonne, P., C. R. Acad. Sci. Sér. A, 280, 1745-1748 (1975)
[9] Zariski, O., General theory of saturation and of satured local rings, II, Amer. J. Math., 93, 872-964 (1971) · Zbl 0228.13007
[10] Abhyankar, S.; Moh, T., Newton-Puiseux expansion and generalized Tschirnhausen transformation II, J. Reine Angew. Math., 261, 29-54 (1973) · Zbl 0272.12102
[11] Beresinky, H., Semigroups corresponding to algebroïd branches in the plane, (Proc. Amer. Math. Soc., 32 (1972)), 381-384 · Zbl 0218.14003
[12] Merle, M., Idéal jacobien, courbe polaire et équisingularité, Thèse de spécialité (1974), (Paris VII)
[13] Herzog, J., Generators and relations of Abelian semigroups and semigroups rings, Manuscripta Math., 3 (1970) · Zbl 0211.33801
[14] Herzog, J.; Kunz, E., Die Wertehalbgruppe eines lokalen Rings der Dimension 1, Ber. Heidelberger Akad. Wiss., 2 (1971) · Zbl 0212.06102
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