Automorphisms mapping a point into a subvariety
Name
Poonen_Automorphisms Mapping.pdf
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216.76 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Poonen, Bjorn
Aschenbrenner, Matthias
Date Issued
March 2011
Journal
Journal of Algebraic Geometry
Publisher
American Mathematical Society (AMS)/University Press Inc.
Citation
Poonen, Bjorn. “Automorphisms Mapping a Point into a Subvariety.” Journal of Algebraic Geometry 20.4 (2011): 785–794. Web.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1090/S1056-3911-2011-00543-2
