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

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Publication date
1 January 2008
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View on arXiv

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.Comment: 24 pages, 6 figure

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