Spectral maps associated to semialgebraic branched coverings

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dc.contributor.authorBaro González, Elías
dc.contributor.authorFernando Galván, José Francisco
dc.contributor.authorGamboa Mutuberria, José Manuel
dc.date.accessioned2025-12-01T15:53:25Z
dc.date.available2025-12-01T15:53:25Z
dc.date.issued2021
dc.description.abstractIn this article we prove that a semialgebraic map from M to N is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a neat behavior with respect to the branching locus, the ramification set and the ramification index. A crucial fact to prove the preceding result is the characterization of the prime ideals whose fibers under the previous spectral map are singletons.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia. Innovación y Universidades
dc.description.sponsorshipMinisterio de Economía y Competitividad
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.identifier.doi10.1007/s13163-020-00377-5
dc.identifier.officialurlhttps://doi.org/10.1007/s13163-020-00377-5
dc.identifier.urihttps://hdl.handle.net/20.500.14352/128236
dc.journal.titleRevista Matemática Complutense
dc.language.isoeng
dc.page.final264
dc.page.initial227
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-82105-P/ES/ESTRUCTURAS ALGEBRAICAS, ANALITICAS Y O-MINIMALES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-55565-P/ES/GEOMETRIA REAL Y APLICACIONES/
dc.relation.projectIDUCM 910444
dc.rights.accessRightsopen access
dc.subject.keywordSemialgebraic set
dc.subject.keywordSemialgebraic function
dc.subject.keywordBranched covering
dc.subject.keywordBranching locus
dc.subject.keywordRamification set
dc.subject.keywordRamification index
dc.subject.keywordZariski spectra
dc.subject.keywordSpectral map
dc.subject.keywordCollapsing set
dc.subject.ucmMatemáticas (Matemáticas)
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleSpectral maps associated to semialgebraic branched coverings
dc.typejournal article
dc.volume.number35
dspace.entity.typePublication
relation.isAuthorOfPublication8695b08a-762f-4ef9-ad24-b6fe687ab7cd
relation.isAuthorOfPublication499732d5-c130-4ea6-8541-c4ec934da408
relation.isAuthorOfPublication8fcb811a-8d76-49a2-af34-85951d7f3fa5
relation.isAuthorOfPublication.latestForDiscovery8695b08a-762f-4ef9-ad24-b6fe687ab7cd

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