On Fano manifolds with a birational contraction sending a divisor to a curve

Details On Fano manifolds with a birational contraction sending a divisor to a curve On Fano manifolds with a birational contraction sending a divisor to a curve

2008-07-15

arxiv.org/abs/0807.2323v1

Mathematics

Algebraic Geometry

24 pages, 6 figures

Scientific paper

Let X be a smooth Fano variety of dimension at least 4. We show that if X has
an elementary birational contraction sending a divisor to a curve, then the
Picard number of X is smaller or equal to 5.

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