000061513 001__ 61513
000061513 005__ 20190709135420.0
000061513 0247_ $$2doi$$a10.1017/nmj.2016.54
000061513 0248_ $$2sideral$$a93933
000061513 037__ $$aART-2017-93933
000061513 041__ $$aeng
000061513 100__ $$0(orcid)0000-0002-8276-5116$$aArtal Bartolo, Enrique Manuel$$uUniversidad de Zaragoza
000061513 245__ $$aAlbanese varieties of cyclic covers of the projective plane and orbifold pencils
000061513 260__ $$c2017
000061513 5060_ $$aAccess copy available to the general public$$fUnrestricted
000061513 5203_ $$aThe paper studies a relation between fundamental group of the complement to a plane singular curve and the orbifold pencils containing it. The main tool is the use of Albanese varieties of cyclic covers ramified along such curves. Our results give sufficient conditions for a plane singular curve to belong to an orbifold pencil, i.e. a pencil of plane curves with multiple fibers inducing a map onto an orbifold curve whose orbifold fundamental group is non trivial. We construct an example of a cyclic cover of the projective plane which is an abelian surface isomorphic to the Jacobian of a curve of genus 2 illustrating the extent to which these conditions are necessary.
000061513 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E15$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P
000061513 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000061513 590__ $$a0.776$$b2017
000061513 591__ $$aMATHEMATICS$$b125 / 309 = 0.405$$c2017$$dQ2$$eT2
000061513 592__ $$a0.892$$b2017
000061513 593__ $$aMathematics (miscellaneous)$$c2017$$dQ1
000061513 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000061513 700__ $$0(orcid)0000-0003-1820-6755$$aCogolludo-Agustín, José Ignacio$$uUniversidad de Zaragoza
000061513 700__ $$aLibgober, A.
000061513 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000061513 773__ $$g227 (2017), 189-213$$pNagoya Math. J.$$tNAGOYA MATHEMATICAL JOURNAL$$x0027-7630
000061513 8564_ $$s282241$$uhttps://zaguan.unizar.es/record/61513/files/texto_completo.pdf$$yPostprint
000061513 8564_ $$s90883$$uhttps://zaguan.unizar.es/record/61513/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000061513 909CO $$ooai:zaguan.unizar.es:61513$$particulos$$pdriver
000061513 951__ $$a2019-07-09-11:25:39
000061513 980__ $$aARTICLE