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arXiv · 0807.2323

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

C. Casagrande
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Abstract

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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C. Casagrande. 2008-07-15. On Fano manifolds with a birational contraction sending a divisor to a curve. https://arxiv.org/abs/0807.2323

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