$p$-adic Teichmuller space for genus $2$

Frank Herrlich

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Metric characterizations of hyperbolic and Euclidean spaces

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The Pick version of the Schwarz lemma and comparison of the Poincaré densities.

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Möbius metric in sector domains

Oona Rainio, Matti Vuorinen (2023)

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The Möbius metric $δ_{G}$ is studied in the cases, where its domain $G$ is an open sector of the complex plane. We introduce upper and lower bounds for this metric in terms of the hyperbolic metric and the angle of the sector, and then use these results to find bounds for the distortion of the Möbius metric under quasiregular mappings defined in sector domains. Furthermore, we numerically study the Möbius metric and its connection to the hyperbolic metric in polygon domains.

The intrinsic Hodge theory of $p$ -adic hyperbolic curves.

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Simplicity of Neretin's group of spheromorphisms

Christophe Kapoudjian (1999)

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Denote by $𝒯_{n}$ , $n \geq 2$ , the regular tree whose vertices have valence $n + 1$ , $\partial 𝒯_{n}$ its boundary. Yu. A. Neretin has proposed a group $N_{n}$ of transformations of $\partial 𝒯_{n}$ , thought of as a combinatorial analogue of the diffeomorphism group of the circle. We show that $N_{n}$ is generated by two groups: the group $Aut (𝒯_{n})$ of tree automorphisms, and a Higman-Thompson group $G_{n}$ . We prove the simplicity of $N_{n}$ and of a family of its subgroups.

Displaying similar documents to “ p -adic Teichmuller space for genus 2 ”

Displaying similar documents to “ $p$ -adic Teichmuller space for genus $2$ ”