On semigroups, Gröbner basis and algebras admitting a complete set of near weights

DOI10.1007/s00233-015-9720-6zbMath1431.14023OpenAlexW1981824990MaRDI QIDQ305758

Cícero Fernandes de Carvalho

Publication date: 30 August 2016

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-015-9720-6

zbMATH Keywords

Gröbner basisaffine curvesnear weight functionsWeierstrass semigroups at several points

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Applications to coding theory and cryptography of arithmetic geometry (14G50) Arithmetic theory of semigroups (20M13)

Uses Software

• Magma

Cites Work

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• On the poles of regular differentials of singular curves
• Two-Point Coordinate Rings for GK-Curves
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• On the existence of order functions
• Goppa codes with Weierstrass pairs

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