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arXiv:math/0603090 [math.AG]AbstractReferencesReviewsResources

On the Picard number of almost Fano threefolds with pseudo-index >1

C. Casagrande, P. Jahnke, I. Radloff

Published 2006-03-03Version 1

We study Gorenstein almost Fano threefolds X with canonical singularities and pseudoindex > 1. We show that the maximal Picard number of X is 10 in general, 3 if X is Fano, and 8 if X is toric. Moreover, we characterize the boundary cases. In the Fano case, we prove that the generalized Mukai conjecture holds.

Comments: 18 pages
Categories: math.AG
Subjects: 14J30, 14J45, 14E30, 14M25
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