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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…
math.AG2003
Characterization theorems for the projective space and vector bundle adjunction
Marco Andreatta
We consider some conditions under which a smooth projective variety X is actually the projective space. We also extend to the case of positive characteristic some results in the th…