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arXiv · 0710.3290

Smooth rationally connected threefolds contain all smooth curves

G. K. Sankaran
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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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G. K. Sankaran. 2007-10-17. Smooth rationally connected threefolds contain all smooth curves. https://arxiv.org/abs/0710.3290

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