一般自同构与Green域
Generic Automorphisms and Green Fields
摘要：
我们表明，一般的自同构是axiomatisable在绿色领域的Poizat（一旦Morleyised），以及在坏的领域，这是通过折叠这个绿色领域有限的Morley秩。作为推论，我们得到了特征为0的“坏伪有限域”。在这两种情况下，我们给出几何公理。事实上，一个一般的框架，允许这种axiomatisation。我们推断，从各种建设性结果的代数簇的特征0，绿色和坏领域落入这个框架。最后，我们对Hrushovski合并得到的其它理论，如两个具有可定义重数性质的强极小理论的自由融合，给出了类似的结果.我们还关闭了一个差距，在建设的坏领域，表明代码可以选择家庭的强极小集。
英文摘要：
We show that the generic automorphism is axiomatisable in the green field of Poizat (once Morleyised) as well as in the bad fields which are obtained by collapsing this green field to finite Morley rank. As a corollary, we obtain "bad pseudofinite fields" in characteristic 0. In both cases, we give geometric axioms. In fact, a general framework is presented allowing this kind of axiomatisation. We deduce from various constructibility results for algebraic varieties in characteristic 0 that the green and bad fields fall into this framework. Finally, we give similar results for other theories obtained by Hrushovski amalgamation, e.g. the free fusion of two strongly minimal theories having the definable multiplicity property. We also close a gap in the construction of the bad field, showing that the codes may be chosen to be families of strongly minimal sets.
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