37 citations · 237 across the 32 of their papers we have counts for
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Fano manifolds having (n-1,0)-type extremal rays with large Picard number
Kento Fujita
We classify smooth Fano manifolds X with the Picard number such that there exists an extremal ray which has a birational contraction that maps a divisor to a point.
Simple normal crossing Fano varieties and log Fano manifolds
Kento Fujita
A projective log variety (X, D) is called "a log Fano manifold" if X is smooth and if D is a reduced simple normal crossing divisor on X with -(K_X+D) ample. The n-dimensional log…
The Mukai conjecture for log Fano manifolds
Kento Fujita
For a log Fano manifold (X, D) with D\neq 0 and with the log Fano pseudoindex \geq 2, we prove that the restriction homomorphism Pic(X)\to Pic(D_1) of Picard groups is injective fo…
On a generalization of the Mukai conjecture for Fano fourfolds
Kento Fujita
Let X be a complex Fano manifold of dimension n. Let s(X) be the sum of l(R)-1 for all the extremal rays of X, the edges of the cone NE(X) of curves of X, where l(R) denotes the mi…