On large prime actions on Riemann surfaces

S Reyes-Carocca, AM Rojas - Journal of Group Theory, 2022 - degruyter.com
In this article, we study compact Riemann surfaces of genus 𝑔 with an automorphism of
prime order g+ 1. The main result provides a classification of such surfaces. In addition, we …

Geometrization of -extended 1-dimensional supersymmetry algebras, I

C Doran, K Iga, J Kostiuk, G Landweber… - … in Theoretical and …, 2015 - intlpress.com
The problem of classifying off-shell representations of the $ N $-extended one-dimensional
super Poincaré algebra is closely related to the study of a class of decorated $ N $-regular …

A database of group actions on Riemann surfaces

J Paulhus - … Conference on Birational Geometry, Kaehler-Einstein …, 2019 - Springer
The automorphism group of a Riemann surface is an important object in a number of
different mathematical fields. An algorithm of Thomas Breuer determines all such groups for …

Rational lines on smooth cubic surfaces

S McKean - arXiv preprint arXiv:2101.08217, 2021 - arxiv.org
We prove that the enumerative geometry of lines on smooth cubic surfaces is governed by
the arithmetic of the base field. In 1949, Segre proved that the number of lines on a smooth …