Automorphisms Mapping a Point into a Subvariety
نویسنده
چکیده
The problem of deciding, given a complex variety X , a point x ∈ X , and a subvariety Z ⊆ 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.
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تاریخ انتشار 2009