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Sep 27, 2021 at 19:15 comment added AstroNi @JohnDoyle a much better answer indeed!
Sep 24, 2021 at 4:29 comment added John Doyle These examples aren't geometrically irreducible, since they factor over the splitting field of the dehomogenized polynomial. The curves in Jeremy Rouse's answer are not only geometrically irreducible, but also smooth projective curves.
Sep 21, 2021 at 7:22 comment added filter grade Is it geometrically irreducible?
Sep 21, 2021 at 6:40 history edited AstroNi CC BY-SA 4.0
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Sep 21, 2021 at 6:31 history answered AstroNi CC BY-SA 4.0