On Kawai theorem for orbifold Riemann surfaces
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DOI: 10.1007/s00208-018-1740-6
Abstract: We prove a generalization of Kawai theorem for the case of orbifold Riemann surface. The computation is based on a formula for the differential of a holomorphic map from the cotangent bundle of the Teichmüller… read more here.
Keywords: psl; riemann surfaces; symplectic form; orbifold riemann ... See more keywords
The Heights Theorem for infinite Riemann surfaces
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DOI: 10.1007/s10711-022-00694-7
Abstract: Marden and Strebel established the Heights Theorem for integrable holomorphic quadratic differentials on parabolic Riemann surfaces. We extends the validity of the Heights Theorem to all surfaces whose fundamental group is of the first kind.… read more here.
Keywords: heights theorem; integrable holomorphic; quadratic differential; riemann surfaces ... See more keywords
Mappings with Finite Length Distortion and Prime Ends on Riemann Surfaces
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DOI: 10.1007/s10958-020-04869-z
Abstract: Abstract The present paper is a continuation of our research that was devoted to the theory of the boundary behavior of mappings in the Sobolev classes (mappings with generalized derivatives) on Riemann surfaces. Here we… read more here.
Keywords: length distortion; prime ends; mappings finite; finite length ... See more keywords
Boundary Integral Formula for Harmonic Functions on Riemann Surfaces
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DOI: 10.1007/s40315-020-00308-x
Abstract: We construct a boundary integral formula for harmonic functions on smoothly-bordered subdomains of Riemann surfaces embeddable into $${\mathbb {C}}{\mathbb {P}}^2$$ C P 2 . The formula may be considered as an analogue of the Green’s… read more here.
Keywords: harmonic functions; integral formula; formula; riemann surfaces ... See more keywords
Riemann surfaces of genus 1 + q2 with 3q2 automorphisms
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DOI: 10.1016/j.jalgebra.2021.09.001
Abstract: In this article we classify compact Riemann surfaces of genus $1+q^2$ with a group of automorphisms of order $3q^2,$ where $q$ is a prime number. We also study decompositions of the corresponding Jacobian varieties. read more here.
Keywords: 3q2 automorphisms; genus 3q2; surfaces genus; riemann surfaces ... See more keywords
Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces
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DOI: 10.1017/etds.2018.143
Abstract: We study Lagrange spectra at cusps of finite area Riemann surfaces. These spectra are penetration spectra that describe the asymptotic depths of penetration of geodesics in the cusps. Their study is in particular motivated by… read more here.
Keywords: lagrange spectra; spectra cusps; riemann surfaces; hall rays ... See more keywords
Matrix regularization for Riemann surfaces with magnetic fluxes
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DOI: 10.1103/physrevd.101.106009
Abstract: We consider the matrix regularization of fields on a Riemann surface which couple to gauge fields with a nonvanishing magnetic flux. We show that such fields are described as rectangular matrices in the matrix regularization.… read more here.
Keywords: magnetic fluxes; regularization riemann; riemann surfaces; matrix regularization ... See more keywords
Integrable sigma models on Riemann surfaces
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DOI: 10.1103/physrevd.107.085015
Abstract: We consider quantum aspects of a class of generalized Gross-Neveu models, which in special cases reduce to sigma models. We show that, in the case of gauged models, an admissible gauge is $A_\mu=0$, which is… read more here.
Keywords: integrable sigma; sigma models; geometry; riemann surfaces ... See more keywords
Spin structures and branch divisors on $p$-gonal Riemann surfaces
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DOI: 10.1216/rmj-2019-49-6-1769
Abstract: We study spin structures on Riemann and Klein surfaces in terms of divisors. In particular, we take a closer look at spin structures on hyperelliptic and $p$-gonal surfaces defined by divisors supported on their branch… read more here.
Keywords: structures branch; spin structures; divisors gonal; gonal riemann ... See more keywords
On large prime actions on Riemann surfaces
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DOI: 10.1515/jgth-2020-0140
Abstract: Abstract In this article, we study compact Riemann surfaces of genus 𝑔 with an automorphism of prime order g + 1 g+1 . The main result provides a classification of such surfaces. In addition, we… read more here.
Keywords: actions riemann; riemann surfaces; prime actions; large prime ... See more keywords