@misc{10498/25945, year = {2021}, month = {10}, url = {http://hdl.handle.net/10498/25945}, abstract = {Weierstrass semigroups are well known along the literature. We present a new family of non- Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups. In addition, we provide methods for computing non-Weierstrass semigroups with genus as large as desired.}, organization = {Funding information: Part of this paper was written during a visit of Fernando Torres to the Universidad de Cadiz (Spain) ; his visit was partially supported by Ayudas para Estancias Cortas de Investigadores (EST2018-R0, Programa de Fomento e Impulso de la Investigacion y la Transferencia en la Universidad de Cadiz) . Fernando Torres was partially supported by CNPq/Brazil (Grant 310623/2017-0) . Juan Ignacio Garcia-Garcia, Daniel Marin-Aragon, and Alberto Vigneron-Tenorio were partially supported by Junta de Andalucia research groups FQM-343 and FQM-366, and by the project MTM2017-84890-P (MINECO/FEDER, UE) .}, publisher = {DE GRUYTER}, keywords = {additive combinatorics}, keywords = {Buchweitz semigroup}, keywords = {numerical semigroup}, keywords = {pseudo-Frobenius number}, keywords = {Weierstrass points}, keywords = {Weierstrass semigroup}, title = {On reducible non-Weierstrass semigroups}, doi = {10.1515/math-2021-0111}, author = {García García, Juan Ignacio and Marín Aragón, Daniel and Torres, Fernando and Vigneron Tenorio, Alberto}, }