RT info:eu-repo/semantics/article
T1 Generalized Weierstrass semigroups and their Poincaré series
A1 Moyano Fernández, Julio José
A1 Tenório, Wanderson
A1 Torres, Fernando
K1 Weierstrass semigroups
K1 Semigrupos de Weierstrass
K1 Riemann-Roch spaces
K1 Espacios de Riemann-Roch
K1 Poincaré series
K1 Serie de Poincaré
K1 Algebra
K1 Álgebra
AB We investigate the structure of the generalized Weierstraß semigroups atseveral points on a curve defined over a finite field. We present a description of thesesemigroups that enables us to deduce properties concerned with the arithmetical structure of divisors supported on the specified points and their corresponding Riemann-Rochspaces. This characterization allows us to show that the Poincar´e series associated withgeneralized Weierstraß semigroups carry essential information to describe entirely theirrespective semigroups.
PB Elsevier
SN 1071-5797
YR 2019
FD 2019
LK http://uvadoc.uva.es/handle/10324/36015
UL http://uvadoc.uva.es/handle/10324/36015
LA eng
NO Finite Fields and Their Applications, 2019, vol. 58, p. 46-69
NO Producción Científica
DS UVaDOC
RD 26-abr-2024