On Multi-Index Filtrations Associated to Weierstraß Semigroups

DOI10.1007/978-3-030-40822-0_14zbMath1461.14044arXiv1312.5472OpenAlexW1828524756MaRDI QIDQ5115899

Julio José Moyano-Fernández

Publication date: 21 August 2020

Published in: Numerical Semigroups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5472

zbMATH Keywords

adjunction theoryalgebraic curvenormalisationWeierstraß semigroup

Mathematics Subject Classification ID

Riemann surfaces; Weierstrass points; gap sequences (14H55) Semigroups (20Mxx)

Uses Software

• SINGULAR
• brnoeth.lib

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Weierstrass semigroups at one and two points and their corresponding Poincaré series
• On Goppa codes and Weierstrass gaps at several points
• On the index of the Weierstrass semigroup of a pair of points on a curve
• On the monodromy at infinity of a plane curve and the Poincaré series of its coordinate ring
• Computing Weierstrass semigroups and the Feng-Rao distance from singular plane models
• Generalized Weierstrass semigroups and their Poincaré series
• Quantum codes from a new construction of self-orthogonal algebraic geometry codes
• Algebraic Geometry Modeling in Information Theory
• Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes
• The Symmetry of the Weierstrass Generalized Semigroups and Affine Embeddings
• Effective construction of algebraic geometry codes
• SINGULAR
• Algorithme de Brill-Noether et codes de Goppa
• An Arithmetic Theory of Adjoint Plane Curves
• Weierstrass pairs and minimum distance of Goppa codes
• Goppa codes with Weierstrass pairs

This page was built for publication: On Multi-Index Filtrations Associated to Weierstraß Semigroups