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dc.contributor.authorPoonen, Bjorn
dc.contributor.authorAschenbrenner, Matthias
dc.date.accessioned2012-07-12T20:09:45Z
dc.date.available2012-07-12T20:09:45Z
dc.date.issued2011-03
dc.date.submitted2009-07
dc.identifier.issn1056-3911
dc.identifier.issn1534-7486
dc.identifier.urihttp://hdl.handle.net/1721.1/71609
dc.description.abstractThe problem of deciding, given a complex variety X, a point x \in X, and a subvariety Z \subseteq X, whether there is an automorphism of X mapping x into Z is proved undecidable. Along the way, we prove the undecidability of a version of Hilbert's tenth problem for systems of polynomials over Z defining an affine Q-variety whose projective closure is smooth.en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (NSF grant DMS-0841321)en_US
dc.description.sponsorshipNational Science Foundation (U.S.) (NSF grant DMS-0556197)en_US
dc.language.isoen_US
dc.publisherAmerican Mathematical Society (AMS)/University Press Inc.en_US
dc.relation.isversionofhttp://dx.doi.org/10.1090/S1056-3911-2011-00543-2en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike 3.0en_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/en_US
dc.sourceMIT web domainen_US
dc.titleAutomorphisms mapping a point into a subvarietyen_US
dc.typeArticleen_US
dc.identifier.citationPoonen, Bjorn. “Automorphisms Mapping a Point into a Subvariety.” Journal of Algebraic Geometry 20.4 (2011): 785–794. Web.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.approverPoonen, Bjorn
dc.contributor.mitauthorPoonen, Bjorn
dc.relation.journalJournal of Algebraic Geometryen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsPoonen, Bjornen
dc.identifier.orcidhttps://orcid.org/0000-0002-8593-2792
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


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