doi:10.1016/j.jpaa.2021.106984engBlasco García, RubénCogolludo Agustín, José IgnacioMartínez Pérez, ConchitaOn the Sigma-invariants of even Artin groups of FC-typeART-2022-127913In this paper we study Sigma-invariants of even Artin groups of FC-type, extending some known results for right-angled Artin groups. In particular, we define a condition that we call the strong n-link condition for a graph Gamma and prove that it gives a sufficient condition for a character chi : A(Gamma) -> Z to satisfy chi] is an element of Sigma(n)(A(Gamma), Z). This implies that the kernel A(Gamma)(chi) = ker chi is of type FPn. We prove the homotopical version of this result as well and discuss partial results on the converse. We also provide a general formula for the free part of H-n(A(Gamma)(chi); F) as an Ft(+/- 1)]-module with the natural action induced by chi. This gives a characterization of when H-n(A(Gamma)(chi); F) is a finite dimensional vector space over F.2022http://zaguan.unizar.es/record/11206010.1016/j.jpaa.2021.106984http://zaguan.unizar.es/record/112060oai:zaguan.unizar.es:112060info:eu-repo/grantAgreement/ES/DGA/E22-20Rinfo:eu-repo/grantAgreement/ES/MICINN/PGC2018-101179-Binfo:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033JOURNAL OF PURE AND APPLIED ALGEBRA 226, 7 (2022), 106984 [7 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess