Automorphisms mapping a point into a subvariety
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...
Main Authors: | Poonen, Bjorn, Aschenbrenner, Matthias |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
American Mathematical Society (AMS)/University Press Inc.
2012
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Online Access: | http://hdl.handle.net/1721.1/71609 https://orcid.org/0000-0002-8593-2792 |
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