000061505 001__ 61505
000061505 005__ 20191113135212.0
000061505 0247_ $$2doi$$a10.1007/s13398-016-0298-y
000061505 0248_ $$2sideral$$a98429
000061505 037__ $$aART-2017-98429
000061505 041__ $$aeng
000061505 100__ $$0(orcid)0000-0002-8276-5116$$aArtal Bartolo, E.$$uUniversidad de Zaragoza
000061505 245__ $$aAn arithmetic Zariski pair of line arrangements with non-isomorphic fundamental group
000061505 260__ $$c2017
000061505 5060_ $$aAccess copy available to the general public$$fUnrestricted
000061505 5203_ $$aIn a previous work, the third named author found a combinatorics of line arrangements whose realizations live in the cyclotomic group of the fifth roots of unity and such that their non-complex-conjugate embedding are not topologically equivalent in the sense that they are not embedded in the same way in the complex projective plane. That work does not imply that the complements of the arrangements are not homeomorphic. In this work we prove that the fundamental groups of the complements are not isomorphic. It provides the first example of a pair of Galois-conjugate plane curves such that the fundamental groups of their complements are not isomorphic (despite the fact that they have isomorphic profinite completions).
000061505 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2013-45710-C2-1-P$$9info:eu-repo/grantAgreement/ES/DGA/E15
000061505 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000061505 590__ $$a1.074$$b2017
000061505 591__ $$aMATHEMATICS$$b56 / 309 = 0.181$$c2017$$dQ1$$eT1
000061505 592__ $$a0.493$$b2017
000061505 593__ $$aComputational Mathematics$$c2017$$dQ2
000061505 593__ $$aAnalysis$$c2017$$dQ3
000061505 593__ $$aGeometry and Topology$$c2017$$dQ3
000061505 593__ $$aAlgebra and Number Theory$$c2017$$dQ3
000061505 593__ $$aApplied Mathematics$$c2017$$dQ3
000061505 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000061505 700__ $$0(orcid)0000-0003-1820-6755$$aCogolludo-Agustín, J. I.$$uUniversidad de Zaragoza
000061505 700__ $$aGuerville-Ballé, B.
000061505 700__ $$0(orcid)0000-0002-6750-8971$$aMarco-Buzunáriz, M.$$uUniversidad de Zaragoza
000061505 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000061505 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática
000061505 773__ $$g111, 2 (2017), 377-402$$pRev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat.$$tRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas$$x1578-7303
000061505 8564_ $$s587792$$uhttps://zaguan.unizar.es/record/61505/files/texto_completo.pdf$$yPostprint
000061505 8564_ $$s74925$$uhttps://zaguan.unizar.es/record/61505/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000061505 909CO $$ooai:zaguan.unizar.es:61505$$particulos$$pdriver
000061505 951__ $$a2019-11-13-13:45:17
000061505 980__ $$aARTICLE