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arxiv: math/0401201 · v2 · submitted 2004-01-16 · 🧮 math.AG · math.CO

On trees covering chains or stars

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keywords chainsstarstheorytreeapplicationsarithmeticalbesidesclasses
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In this paper, in the context of the ``Dessins d'enfants'' theory, we give a combinatorial criterion for a plane tree to cover a tree from the classes of "chains" or "stars''. Besides, we discuss some applications of this result which are related to the arithmetical theory of torsion on curves.

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