Automorphisms mapping a point into a subvariety

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 over Z...

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Bibliographic Details
Main Authors: Poonen, Bjorn (Contributor), Aschenbrenner, Matthias (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: American Mathematical Society (AMS)/University Press Inc., 2012-07-12T20:09:45Z.
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Online Access:Get fulltext
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100 1 0 |a Poonen, Bjorn  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Poonen, Bjorn  |e contributor 
100 1 0 |a Poonen, Bjorn  |e contributor 
700 1 0 |a Aschenbrenner, Matthias  |e author 
245 0 0 |a Automorphisms mapping a point into a subvariety 
260 |b American Mathematical Society (AMS)/University Press Inc.,   |c 2012-07-12T20:09:45Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/71609 
520 |a 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. 
520 |a National Science Foundation (U.S.) (NSF grant DMS-0841321) 
520 |a National Science Foundation (U.S.) (NSF grant DMS-0556197) 
546 |a en_US 
655 7 |a Article 
773 |t Journal of Algebraic Geometry 

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