A generating set for the canonical ideal of HKG-curves

DOI10.1007/s40993-020-00230-0zbMath1457.14076arXiv2010.03304OpenAlexW3120456951MaRDI QIDQ2221690

Ioannis Tsouknidas, Aristides I. Kontogeorgis

Publication date: 2 February 2021

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.03304

zbMATH Keywords

Weierstrass semigroupcanonical idealPetri's theoremHarbater-Katz-Gabber curves

Mathematics Subject Classification ID

Riemann surfaces; Weierstrass points; gap sequences (14H55)

Cites Work

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• Local-to-global extensions of representations of fundamental groups
• Die Automorphismengruppen hyperelliptischer Kurven. (The groups of automorphisms of hyperelliptic curves)
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• A cohomological treatise of HKG-covers with applications to the Nottingham group
• Cyclic extensions and the local lifting problem
• The Oort conjecture on lifting covers of curves
• Automorphisms of Harbater-Katz-Gabber curves
• Gonality of modular curves in characteristic \(p\)
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• Moduli of p-covers of curves
• Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers
• On weierstrass points on certain elementary abelian extensions Of k(x)
• The local lifting problem for actions of finite groups on curves
• Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms

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