English

Riemann surfaces of genus $1+q^2$ with $3q^2$ automorphisms

Algebraic Geometry 2020-07-24 v2

Abstract

In this article we classify compact Riemann surfaces of genus 1+q21+q^2 with a group of automorphisms of order 3q2,3q^2, where qq is a prime number. We also study decompositions of the corresponding Jacobian varieties.

Keywords

Cite

@article{arxiv.1911.04310,
  title  = {Riemann surfaces of genus $1+q^2$ with $3q^2$ automorphisms},
  author = {Angel Carocca and Sebastián Reyes-Carocca},
  journal= {arXiv preprint arXiv:1911.04310},
  year   = {2020}
}

Comments

26 pages, A small mistake in Th. 2 is amended