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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- Last edited by Bjorn Poonen on 2022-03-24 16:12:41
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- 2022-03-24 16:12:41 by Bjorn Poonen (Reviewed)
- 2019-05-12 10:00:30 by Andrew Sutherland (Reviewed)
- 2017-06-14 17:39:19 by Nicolas Mascot (Reviewed)