A variety defined over a field $F$ is irreducible if it cannot be decomposed as the union of two 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 Andrew Sutherland on 2019-05-12 10:00:30
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- 2022-03-24 16:12:41 by Bjorn Poonen
- 2019-05-12 10:00:30 by Andrew Sutherland (Reviewed)
- 2017-06-14 17:39:19 by Nicolas Mascot (Reviewed)