2004/01/16 by Fedor Pakovich, Pakovich, F.
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Graph theory and applications
paper · pdf · doi:10.48550/arxiv.math/0401201
openalex publication_date 2004/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.