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Riemann surfaces of genus 1 + q2 with 3q2 automorphisms

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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… Click to show full 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.

Keywords: 3q2 automorphisms; genus 3q2; surfaces genus; riemann surfaces

Journal Title: Journal of Algebra
Year Published: 2021

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