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dc.contributor.authorde Felipe Ana B.en_US
dc.date.accessioned2017-11-15T06:34:52Z
dc.date.available2017-11-15T06:34:52Z
dc.date.issued2017-11-11
dc.identifier.issn0002-9947
dc.identifier.urihttp://hdl.handle.net/20.500.11824/750
dc.description.abstractGiven an algebraic variety X defined over an algebraically closed field, we study the space RZ(X,x) consisting of all the valuations of the function field of X which are centered in a closed point x of X. We concentrate on its homeomorphism type. We prove that, when x is a regular point, this homeomorphism type only depends on the dimension of X. If x is a singular point of a normal surface, we show that it only depends on the dual graph of a good resolution of (X,x) up to some precise equivalence. This is done by studying the relation between RZ(X,x) and the normalized non-Archimedean link of x in X coming from the point of view of Berkovich geometry. We prove that their behavior is the same.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherTransactions of the AMS - American Mathematical Societyen_US
dc.relationinfo:eu-repo/grantAgreement/EC/FP7/615655en_US
dc.relationES/1PE/SEV-2013-0323en_US
dc.relationEUS/BERC/BERC.2014-2017en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleTopology of Spaces of Valuations and Geometry of Singularitiesen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/acceptedVersionen_US
dc.identifier.arxivarXiv:1711.03909
dc.identifier.doi10.1090/tran/7441
dc.relation.publisherversionhttps://doi.org/10.1090/tran/7441en_US


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