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math.AG2007★ 1 cited
Fano manifolds and blow-ups of low-dimensional subvarieties
Elena Chierici, Gianluca Occhetta
We study Fano manifolds of pseudoindex greater than one and dimension greater than five, which are blow-ups of smooth varieties along smooth centers of dimension equal to the pseud…
math.AG2003
Generalized Mukai conjecture for special Fano varieties
Marco Andreatta, Elena Chierici, Gianluca Occhetta
Let X be a Fano variety of dimension n, pseudoindex i_X and Picard number ρ_X. A generalization of a conjecture of Mukai says that ρ_X(i_X-1)\le n. We prove that the conjecture hol…