Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers

DOI10.1515/advgeom-2022-0014zbMath1493.14050OpenAlexW4283771533MaRDI QIDQ2157804

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

Publication date: 22 July 2022

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2022-0014

zbMATH Keywords

automorphismmaximal curveWeierstrass semigroupWeierstrass pointHarbater-Katz-Gabber coverhigher ramification filtrationzero \(p\)-rank

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Automorphisms of curves (14H37) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

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

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