Generalized Weierstrass semigroups and their Poincaré series.
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/173364
comunitat-uji-handle3:10234/173369
comunitat-uji-handle4:
INVESTIGACIONMetadata
Title
Generalized Weierstrass semigroups and their Poincaré series.Date
2019-07Publisher
ElsevierBibliographic citation
MOYANO FERNÁNDEZ, Julio José; TENÓRIO, W.; TORRES, F. (2019). Generalized Weierstrass semigroups and their Poincaré series. Finite Fields and Their Applications, v. 58, p. 46-69.Type
info:eu-repo/semantics/articlePublisher version
https://www.sciencedirect.com/science/article/pii/S1071579719300267Version
info:eu-repo/semantics/submittedVersionAbstract
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 ... [+]
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. [-]
Is part of
Finite Fields and Their Applications (2019), v. 58Investigation project
1) Spanish Government Ministerio de Economía, Industria y Competitividad (MINECO), grants MTM2015-65764-C3-2-P, MTM2016-81735-REDT and MTM2016-81932-REDT; 2) Universitat Jaume I, grants P1-1B2015-02 and UJI-B2018-10; 3) CNPq, Brazil, under grants 201584/2015-8 and 159852/2014-5, as well as by the IMAC-Institut de Matemàtiques i Aplicacions de Castelló; 4) CNPq, Brazil, under grant 310623/2017-0Rights
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- IMAC_Articles [122]