An approach to plane algebroid branches

Arkadiusz P{\l}oski; Evelia R. Garc\'ia Barroso

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An approach to plane algebroid branches

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arxiv 1208.0913 v1 pith:264E32NN submitted 2012-08-04 math.AG

Evelia R. García Barroso , Arkadiusz P{l}oski This is my paper · ORCID

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keywords branchesbasicplanealgebraicalgebraicallyalgebroidapproacharbitrary

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Our aim is to reprove the basic results of the theory of branches of plane algebraic curves 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.

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