| Página principal > Artículos > Quasi-projective varieties whose fundamental group is a free product of cyclic groups > MARC |
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
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