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On the Picard number of singular Fano varieties
Let X be a Q-factorial Gorenstein Fano variety. Suppose that the singularities of X are canonical and that the locus where they are non-terminal has dimension zero. Let D be a prime divisor of X. WeExpand
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A note on the Picard number of singular Fano 3-folds
Using a construction due to C. Casagrande and further developed by the author (Int. Math. Res. Notices, 2012), we prove that the Picard number of a non-smooth Fano 3-fold with isolated factorialExpand