Smooth rationally connected threefolds contain all smooth curves
classification
🧮 math.AG
keywords
smoothconnectedrationallycasecharacterisescontaincurvecurves
read the original abstract
We show that if X is a smooth rationally connected threefold and C is a smooth projective curve then C can be embedded in X. Furthermore, a version of this property characterises rationally connected varieties of dimension at least 3. We give some details about the toric case.
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