Smooth rationally connected threefolds contain all smooth curves

Details Smooth rationally connected threefolds contain all smooth curves Smooth rationally connected threefolds contain all smooth curves

2007-10-17

arxiv.org/abs/0710.3290v2

Mathematics

Algebraic Geometry

Version 1 was called "Any smooth toric threefold contains all curves". This version is completely rewritten and proves a much

Scientific paper

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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