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[8580] Artykuł: An approach to plane algebroid branchesCzasopismo: Revista Matemática Complutense Tom: 1, Zeszyt: 28, Strony: 227-252ISSN: 1139-1138 Wydawca: SPRINGER-VERLAG ITALIA SRL, VIA DECEMBRIO, 28, MILAN, 20137, ITALY Opublikowano: 2015 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 25 Klasyfikacja Web of Science: Article ![]() ![]() ![]() Keywords: Plane algebroid curve  Branch  Semigroup associated with a branch  Key polynomials  Logarithmic distance  Abhyankar-Moh theory  |
We consider a new approach to the local geometry of plane algebraic curves that allows us to obtain the basic results of the theory of plane algebroid branches over algebraically closed fields of arbitrary characteristic. We do not use the Hamburger-Noether expansions. Our basic tool is the logarithmic distance on the set of branches satisfying the strong triangle inequality which permits to make calculations directly on the equations of branches.