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arXiv · 1706.09738

On arithmetic of one class of plane maps

Yury Kochetkov
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Abstract

We study bipartite maps on the plane with one infinite face and one face of perimeter 2. At first we consider the problem of their enumeration an then study the connection between the combinatorial structure of a map and the degree of its definition field. The second problem is considered, when the number of edges is $p+1$, where $p$ is a prime.

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Yury Kochetkov. 2017-06-29. On arithmetic of one class of plane maps. https://arxiv.org/abs/1706.09738

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