Computational aspects of equivariant Hilbert series of canonical rings for algebraic curves

DOI10.1007/978-3-031-14788-3_6OpenAlexW4301027734MaRDI QIDQ2109977

Sotiris Karanikolopoulos, Kostas Karagiannis, Hara Charalambous, Aristides I. Kontogeorgis

Publication date: 21 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-14788-3_6

zbMATH Keywords

group actionsHilbert seriesFermat curvesholomorphic differentials

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic function fields and codes
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• An equivariant Lefschetz formula for finite reductive groups
• On Petri's analysis of the linear system of quadrics through a canonical curve
• The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\)
• The group of automorphisms of cyclic extensions of rational function fields
• Über das Verhalten der Integrale 1. Gattung bei Automorphismen des Funktionenkörpers
• The group of automorphisms of the Fermat curve
• On the automorphism group of Fermat fields
• Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers
• A survey of Galois theory of curves in characteristic p
• Invariants of finite groups and their applications to combinatorics
• Hypergeometric Functions, My Love
• Galois structure of Zariski cohomology for weakly ramified covers of curves

This page was built for publication: Computational aspects of equivariant Hilbert series of canonical rings for algebraic curves