000124350 001__ 124350
000124350 005__ 20241125101127.0
000124350 0247_ $$2doi$$a10.1002/mana.202100610
000124350 0248_ $$2sideral$$a130576
000124350 037__ $$aART-2023-130576
000124350 041__ $$aeng
000124350 100__ $$0(orcid)0000-0003-1820-6755$$aCogolludo Agustín, José Ignacio$$uUniversidad de Zaragoza
000124350 245__ $$aVanishing of higher order Alexander-type invariants of plane curves
000124350 260__ $$c2023
000124350 5060_ $$aAccess copy available to the general public$$fUnrestricted
000124350 5203_ $$aThe higher order degrees are Alexander-type invariants of complements to an affine plane curve. In this paper, we characterize the vanishing of such invariants for a curve given as a transversal union of plane curves ′ and ′′ in terms of the finiteness and the vanishing properties of the invariants of ′ and ′′, and whether or not they are irreducible. As a consequence, we prove that the multivariable Alexander polynomial Δmulti is a power of ( − 1), and we characterize when Δmulti = 1 in terms of the defining equations of ′ and ′′. Our results impose obstructions on the class of groups that can be realized as fundamental groups of complements of a transversal union of curves.
000124350 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033
000124350 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000124350 590__ $$a0.8$$b2023
000124350 592__ $$a0.625$$b2023
000124350 591__ $$aMATHEMATICS$$b179 / 490 = 0.365$$c2023$$dQ2$$eT2
000124350 593__ $$aMathematics (miscellaneous)$$c2023$$dQ2
000124350 594__ $$a1.5$$b2023
000124350 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000124350 700__ $$aElduque, Eva
000124350 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000124350 773__ $$g296, 3 (2023), 1026-1040$$pMath. Nachr.$$tMathematische Nachrichten$$x0025-584X
000124350 8564_ $$s262373$$uhttps://zaguan.unizar.es/record/124350/files/texto_completo.pdf$$yVersión publicada
000124350 8564_ $$s2273917$$uhttps://zaguan.unizar.es/record/124350/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000124350 909CO $$ooai:zaguan.unizar.es:124350$$particulos$$pdriver
000124350 951__ $$a2024-11-22-11:58:02
000124350 980__ $$aARTICLE