| dc.contributor.author | Poonen, Bjorn | |
| dc.contributor.author | Aschenbrenner, Matthias | |
| dc.date.accessioned | 2012-07-12T20:09:45Z | |
| dc.date.available | 2012-07-12T20:09:45Z | |
| dc.date.issued | 2011-03 | |
| dc.date.submitted | 2009-07 | |
| dc.identifier.issn | 1056-3911 | |
| dc.identifier.issn | 1534-7486 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/71609 | |
| dc.description.abstract | The 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.sponsorship | National Science Foundation (U.S.) (NSF grant DMS-0841321) | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) (NSF grant DMS-0556197) | en_US |
| dc.language.iso | en_US | |
| dc.publisher | American Mathematical Society (AMS)/University Press Inc. | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1090/S1056-3911-2011-00543-2 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike 3.0 | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/ | en_US |
| dc.source | MIT web domain | en_US |
| dc.title | Automorphisms mapping a point into a subvariety | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Poonen, Bjorn. “Automorphisms Mapping a Point into a Subvariety.” Journal of Algebraic Geometry 20.4 (2011): 785–794. Web. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Poonen, Bjorn | |
| dc.contributor.mitauthor | Poonen, Bjorn | |
| dc.relation.journal | Journal of Algebraic Geometry | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Poonen, Bjorn | en |
| dc.identifier.orcid | https://orcid.org/0000-0002-8593-2792 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
