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arXiv:0807.2323 [math.AG]AbstractReferencesReviewsResources

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

C. Casagrande

Published 2008-07-15Version 1

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.

Comments: 24 pages, 6 figures
Categories: math.AG
Subjects: 14J45, 14E30
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