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Oct 22, 2012 at 15:09 vote accept Rurik
Oct 22, 2012 at 12:57 history edited Francesco Polizzi CC BY-SA 3.0
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Oct 22, 2012 at 12:12 answer added Karl Schwede timeline score: 4
Oct 22, 2012 at 11:11 comment added Francesco Polizzi An example of variety which is smooth in codimension $1$ but not normal is given by the union of two planes in $\mathbb{P}^4$ intersecting in a single point. One can also find irreducible examples with the same kind of singularity (a "non normal double point").
Oct 22, 2012 at 11:05 history asked Rurik CC BY-SA 3.0