A Model-theoretic Counterpart to Moishezon Morphisms

  title={A Model-theoretic Counterpart to Moishezon Morphisms},
  author={Rahim Moosa},
The notion of being Moishezon to a set of types, a natural strengthening of internality motivated by complex geometry, is introduced. Under the hypothesis of Pillay’s [6] canonical base property, and using results of Chatzidakis [2], it is shown that if a stationary type of finite U -rank at least two is almost internal to a nonmodular minimal type and admits a diagonal section, then it is Moishezon to the set of nonmodular minimal types. This result is inspired by Campana’s [1] “first… CONTINUE READING

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