Real Algebraic and Analytic Geometry |

Every connected sum of lens spaces is a real component of a uniruled algebraic variety.

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Submission: 2005, March 20.

*Abstract:
Let M be a connected sum of finitely many lens spaces, and let N be a
connected sum of finitely many copies of S1xS2. We show that there is
a uniruled algebraic variety X such that the connected sum of M and N
is diffeomorphic to a connected component of the set of real points
of X. In particular, any finite connected sum of lens spaces is
diffeomorphic to a real component of a uniruled algebraic variety
.*

Mathematics Subject Classification (2000): 14P25.

Keywords and Phrases: uniruled algebraic variety Seifert manifold lens space connected sum equivariant line bundle real algebraic model.

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