Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

In Zilber's paper entitled 'a theory of generic function with derivations', he works in the variety language for fields? What does this mean? If I want to define the variety language what can I say?

share|cite|improve this question

(I leave this reply just in case this is still relevant)

Let $V$ be a varity (can be any definable set actually) in an algebraically closed field $k$. For any subset of $V^n, n \geq 1$ relatively closed in $V^n$ in Zariski topology introduce a predicate --- this is what is called the "variety language". Definable sets in this language are the same as definable subsets of $V^n$ (by quantifier elimination in $ACF_p$ and stable embeddedness of $V$).

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.