000162831 001__ 162831
000162831 005__ 20251017144653.0
000162831 0247_ $$2doi$$a10.4171/RMI/1550
000162831 0248_ $$2sideral$$a145378
000162831 037__ $$aART-2025-145378
000162831 041__ $$aeng
000162831 100__ $$0(orcid)0000-0003-1820-6755$$aCogolludo-Agustín, José I.$$uUniversidad de Zaragoza
000162831 245__ $$aQuasi-projective varieties whose fundamental group is a free product of cyclic groups
000162831 260__ $$c2025
000162831 5060_ $$aAccess copy available to the general public$$fUnrestricted
000162831 5203_ $$aIn the context of Serre’s question, we study smooth complex quasi-projective varieties whose fundamental group is a free product of cyclic groups. In particular, we focus on the case of surfaces and prove the existence of an admissible map from such a quasi-projective surface to a smooth complex quasi-projective curve. Associated with this result, we prove addition-deletion lemmas which describe a natural operation correlating this family of quasi-projective surfaces and groups. Our methods also allow us to produce examples of curves in smooth projective surfaces whose complements have free products of cyclic groups as fundamental groups, generalizing classical results on Cp,q curves and torus-type projective sextics, and describing the conditions under which this phenomenon occurs.
000162831 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033$$9info:eu-repo/grantAgreement/ES/MICINN/RYC2021-031526-I
000162831 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttps://creativecommons.org/licenses/by/4.0/deed.es
000162831 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000162831 700__ $$aElduque, Eva
000162831 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología
000162831 773__ $$g41, 5 (2025), 1759-1794$$pRev. mat. iberoam.$$tREVISTA MATEMATICA IBEROAMERICANA$$x0213-2230
000162831 8564_ $$s679229$$uhttps://zaguan.unizar.es/record/162831/files/texto_completo.pdf$$yVersión publicada
000162831 8564_ $$s1486541$$uhttps://zaguan.unizar.es/record/162831/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000162831 909CO $$ooai:zaguan.unizar.es:162831$$particulos$$pdriver
000162831 951__ $$a2025-10-17-14:37:11
000162831 980__ $$aARTICLE