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An extension result for maps admitting and algebraic addition theorem

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dc.contributor.authorBaro González, Elías
dc.contributor.authorVicente, J. de
dc.contributor.authorOtero, M.
dc.date.accessioned2023-06-17T13:20:34Z
dc.date.available2023-06-17T13:20:34Z
dc.date.issued2018
dc.descriptionInternational Program of Excellence in Mathematics at Universidad Autónoma de Madrid
dc.description.abstractWe prove that if an analytic map : U [flecha] Cn, where U [incluye] C [elevado a ] n is an open neighborhood of the origin, admits an algebraic addition theorem then, there exists a meromorphic map g : C [elevado a]n [flecha] C [elevado a]n admitting an algebraic addition theorem such that each coordinate function of f is algebraic over C(g) on U (this was proved by K. Weierstrass for n = 1). Furthermore, g admits a rational addition theorem.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (España)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/54657
dc.identifier.citationBaro, E., J. De Vicente, y M. Otero. «An Extension Result for Maps Admitting an Algebraic Addition Theorem». The Journal of Geometric Analysis 29, n.o 1 (enero de 2019): 316-27. https://doi.org/10.1007/s12220-018-9992-7.
dc.identifier.doi10.1007/s12220-018-9992-7
dc.identifier.issn1559-002X
dc.identifier.officialurlhttps://link.springer.com/article/10.1007/s12220-018-9992-7
dc.identifier.urihttps://hdl.handle.net/20.500.14352/13160
dc.issue.number1
dc.journal.titleJournal of Geometric Analysis
dc.language.isoeng
dc.page.final327
dc.page.initial316
dc.publisherSpringer
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2011-22435-E/ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2014-55565-E/ES
dc.rights.accessRightsopen access
dc.subject.cdu512
dc.subject.keywordÁlgebra
dc.subject.keywordAlgebraic addition theorem
dc.subject.keywordRational addition theorem
dc.subject.keywordNash groups
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.ucmÁlgebra
dc.subject.unesco12 Matemáticas
dc.subject.unesco1201 Álgebra
dc.titleAn extension result for maps admitting and algebraic addition theorem
dc.typejournal article
dc.volume.number29
dspace.entity.typePublication
relation.isAuthorOfPublication8695b08a-762f-4ef9-ad24-b6fe687ab7cd
relation.isAuthorOfPublication.latestForDiscovery8695b08a-762f-4ef9-ad24-b6fe687ab7cd

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