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Let X$X$ be a smooth, proper algebraic variety over a field k$k$, of positive dimension.
Is it true that X$X$ contains a smooth Zariski-closed curve ?
If it is projective, this is true by Bertini. But is it true in general ?
Let X be a smooth, proper algebraic variety over a field k, of positive dimension. Is it true that X contains a smooth Zariski-closed curve ? If it is projective, this is true by Bertini. But in general ?
Let $X$ be a smooth, proper algebraic variety over a field $k$, of positive dimension.
Is it true that $X$ contains a smooth Zariski-closed curve ?
If it is projective, this is true by Bertini. But is it true in general ?
Let X be a smooth, proper algabraicalgebraic variety over a field k, of positive dimension. Is it true that X contains a smooth Zariski-closed curve ? If it is projective, this is true by Bertini. But in general ?
Let X be a smooth, proper algabraic variety over a field k, of positive dimension. Is it true that X contains a smooth Zariski-closed curve ? If it is projective, this is true by Bertini. But in general ?
Let X be a smooth, proper algebraic variety over a field k, of positive dimension. Is it true that X contains a smooth Zariski-closed curve ? If it is projective, this is true by Bertini. But in general ?
