On trees covering chains or stars |
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Authors: | F B Pakovich |
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Institution: | (1) Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653, Beer Sheva, 84105, Israel |
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Abstract: | 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.” We also discuss some applications of this result that are related to the arithmetical
theory of torsion on curves.
Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 6, pp. 207–215, 2007. |
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