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.
Mathematics Subject Classification (2010) Primary 14M22. Secondary 14E25, 14M25.
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© 2011 Springer-Verlag Berlin Heidelberg
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Sankaran, G.K. (2011). Smooth rationally connected threefolds contain all smooth curves. In: Ebeling, W., Hulek, K., Smoczyk, K. (eds) Complex and Differential Geometry. Springer Proceedings in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20300-8_19
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DOI: https://doi.org/10.1007/978-3-642-20300-8_19
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