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Preprint Number 209
209. Alice Medvedev
Grouplike minimal sets in ACFA and in T_A
Submission date: 20 October 2009.
This paper is a generalization of a part of the author's PhD thesis.
The thesis concerns minimal formulae in ACFA of the form "p lies on an
algebraic curve A and s(x)=f(x)" for some dominant rational function f
from A to s(A), where s is the automorphism. These are shown to be
uniform in the Zilber trichotomy, and the pairs (A,f) that fall into
each of the three cases are characterized. These characterizations are
definable in families.
Mathematics Subject Classification: 03C45; 12L12; 03C60
Keywords and phrases:
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