Equations of Riemann surfaces with automorphisms

DOI10.1090/conm/703/14129zbMath1401.14150arXiv1607.04778OpenAlexW2962907892MaRDI QIDQ4685912

David Swinarski

Publication date: 9 October 2018

Published in: Higher Genus Curves in Mathematical Physics and Arithmetic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04778

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Automorphisms of curves (14H37)

Related Items (4)

Sets of special subvarieties of bounded degree ⋮ A remark on the field of moduli of Riemann surfaces ⋮ On group actions on Riemann-Roch spaces of curves ⋮ On Riemann surfaces of genus \(g\) with \(4g-4\) automorphisms

Uses Software

• GAP
• Macaulay2
• REPSN

Cites Work

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• On the computation of parametric Gröbner bases for modules and syzygies
• Groups of automorphisms of cyclic trigonal Riemann surfaces
• Syzygies of canonical curves and special linear series
• Automorphism groups of hyperelliptic Riemann surfaces
• Comprehensive Gröbner bases
• Homology, Belyĭfunctions and canonical curves
• An efficient method for computing comprehensive Gröbner bases
• An algorithm for constructing representations of finite groups.
• Lectures on curves on an algebraic surface. With a section by G. M. Bergman
• Computing matrix representations
• Determining equations of families of cyclic curves
• On a Curve of Genus 7
• The case for superelliptic curves

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