Mathematics – Algebraic Geometry
Scientific paper
2004-01-16
Mathematics
Algebraic Geometry
published version
Scientific paper
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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