dc.contributor.author | de Felipe, A. | |
dc.date.accessioned | 2017-11-15T06:34:52Z | |
dc.date.available | 2017-11-15T06:34:52Z | |
dc.date.issued | 2017-11-11 | |
dc.identifier.issn | 0002-9947 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11824/750 | |
dc.description.abstract | Given 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.format | application/pdf | en_US |
dc.language.iso | eng | en_US |
dc.rights | Reconocimiento-NoComercial-CompartirIgual 3.0 España | en_US |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ | en_US |
dc.title | Topology of Spaces of Valuations and Geometry of Singularities | en_US |
dc.type | info:eu-repo/semantics/article | en_US |
dc.identifier.arxiv | arXiv:1711.03909 | |
dc.identifier.doi | 10.1090/tran/7441 | |
dc.relation.publisherversion | https://doi.org/10.1090/tran/7441 | en_US |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/615655 | en_US |
dc.relation.projectID | ES/1PE/SEV-2013-0323 | en_US |
dc.relation.projectID | EUS/BERC/BERC.2014-2017 | en_US |
dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | en_US |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | en_US |
dc.journal.title | Transactions of the AMS - American Mathematical Society | en_US |