Quasi-lines and their degenerations

Mathematics – Algebraic Geometry

Scientific paper

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20 pages

Scientific paper

In this paper we study the structure of manifolds that contain a quasi-line
and give some evidence towards the fact that the irreducible components of
degenerations of the quasi-line should determine the Mori cone. We show that
the minimality with respect to a quasi-line yields strong restrictions on fibre
space structures of the manifold.

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