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A variety defined over a field $F$ is irreducible if it is nonempty and cannot be decomposed as the union of two strictly smaller varieties over $F$. It is geometrically irreducible if it remains irreducible when seen as a variety over the algebraic closure of $F$.

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  • Review status: reviewed
  • Last edited by Bjorn Poonen on 2022-03-24 16:12:41
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