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Type: Artigo
Title: Generalized Weierstrass semigroups and their Poincaré series
Author: Moyano-Fernández, J.J.
Tenório, W.
Torres, F.
Abstract: We investigate the structure of the generalized Weierstrass semigroups at several points on a curve defined over a finite field. We present a description of these semigroups that enables us to associate them with combinatorial objects, the Poincaré series and the semigroup polynomial. We show that this Poincaré series determines completely the generalized Weierstrass semigroup and it is entirely determined by the semigroup polynomial. We finish the paper by describing the functional equations occurring to the Poincaré series under the hypothesis of a symmetric generalized Weierstrass semigroup
Subject: Poincaré, Séries de
Country: Estados Unidos
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.ffa.2019.03.005
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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