On weak Fano manifolds with small contractions obtained by blow-ups of a product of projective spaces

Abstract

We consider weak Fano manifolds with small contractions obtained by blowing up successively curves and subvarieties of codimension 2 in products of projective spaces. We give a classification result for a special case. In the process of proof, we describe explicitly the structure of nef cones and compute the self intersection numbers of anti-canonical divisors for such weak Fano manifolds.

22 pages

Cited by in corpus (1)

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